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Calculus 2 - Geometric Series, P-Series, Ratio Test, Root Test, Alternating Series, Integral Test 

The Organic Chemistry Tutor
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This calculus 2 video provides a basic review into the convergence and divergence of a series. It contains plenty of examples and practice problems.
Integral Test For Divergence: • Calculus 2 - Integral ...
Remainder Estimate - Integral Test:
• Remainder Estimate For...
P-Series:
• P-series
Direct Comparison Test:
• Direct Comparison Test...
Limit Comparison Test:
• Limit Comparison Test
_________________________________
Alternating Series Test:
• Alternating Series Test
Alternate Series Estimation Theorem:
• Alternate Series Estim...
Absolute & Conditional Convergence:
• Absolute Convergence, ...
The Ratio Test:
• Ratio Test
The Root Test:
• Root Test
__________________________________
Series Tests - Practice Problems:
• Calculus 2 - Geometric...
Taylor & Maclaurin Polynomials:
• Taylor Polynomials & M...
Taylor's Remainder Theorem:
• Taylor's Remainder The...
Power Series - Interval Convergence:
• Power Series - Finding...
Power Series - Derivatives & Integrals:
• Power Series - Differe...
___________________________________
Calculus Final Exam and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

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30 сен 2024

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Комментарии : 815   
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor Год назад
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-urPIxvNBXF0.html
@MathPerson1
@MathPerson1 3 месяца назад
Thanks for this!
@rayravel7309
@rayravel7309 4 года назад
Who else got a calc exam coming up?
@vijaynagalla3989
@vijaynagalla3989 4 года назад
Me😁
@insane_anatoly
@insane_anatoly 4 года назад
@@vijaynagalla3989 me
@WhisDragonBallSuper
@WhisDragonBallSuper 4 года назад
Me 😂
@rkv3731
@rkv3731 4 года назад
in 2 days :0000
@alexandermbot9467
@alexandermbot9467 4 года назад
Me and series had never been my strong topic😅
@samantha-uo2gi
@samantha-uo2gi 6 месяцев назад
man, I hate calc 2
@mrgoksu6349
@mrgoksu6349 5 месяцев назад
Totally agree
@baritoneboi2399
@baritoneboi2399 5 месяцев назад
I love calc and I’m in calc 2 right now, but omg this stuff is annoying and tedious-
@MusabBinAbdullah-mu7mk
@MusabBinAbdullah-mu7mk 5 месяцев назад
Us bro us
@Renzosfs
@Renzosfs 4 месяца назад
@@baritoneboi2399FOREAL so happy my calc 1 teacher made me fall in love with calc because doing calc 2 made me understand why it’s the calc which people get hardstuck at
@Joseph-zd3lz
@Joseph-zd3lz 3 года назад
HOW DOES THIS MAN KNOW EVERY SINGLE PIECE OF INFORMATION ON THE PLANET?! You are a lifesaver I swear to god if I was not broke, I would donate at least 10 grand coz your lectures are better than every other class I was ever in. You should run for president
@kennyrudin10
@kennyrudin10 3 года назад
@@ahmedmohamedaligalal9165 Ahh yes, allah
@ghassenbeddouihech2657
@ghassenbeddouihech2657 3 года назад
@@ahmedmohamedaligalal9165 u right tho xDDDD
@ledgermalakai6549
@ledgermalakai6549 3 года назад
i dont mean to be so offtopic but does anybody know a trick to log back into an instagram account..? I was stupid forgot my password. I love any tips you can give me!
@ledgermalakai6549
@ledgermalakai6549 3 года назад
@Aarav Raylan i really appreciate your reply. I got to the site on google and I'm in the hacking process atm. I see it takes a while so I will reply here later when my account password hopefully is recovered.
@ledgermalakai6549
@ledgermalakai6549 3 года назад
@Aarav Raylan it worked and I actually got access to my account again. I am so happy:D Thank you so much you saved my account :D
@dukebozikowski3801
@dukebozikowski3801 3 года назад
1. Divergence Test: 0:21 2. Geometric Series Test: 0:58 3. P-Series Test: 1:51 4. Telescoping Series: 2:33 5. Integral Test: 5:01 6. Ratio Test: 6:12 7. Root Test: 7:14 8. Direct Comparison Test: 8:12 9. Limit Comparison Test: 8:59 10. Alternating Series Test: 10:28 11. Absolute Convergence AND Conditional Convergence: 11:26 12. Practice Problems: 12:41
@aleph4425
@aleph4425 3 года назад
goat
@kormakurolafsson2182
@kormakurolafsson2182 3 года назад
Love u
@kaylamancilla6563
@kaylamancilla6563 3 года назад
You are so sexy.
@isatay4069
@isatay4069 3 года назад
Bro the best
@pezpeculiar9557
@pezpeculiar9557 3 года назад
I really appreciate this. I'm trying to focus on reviewing the ones I suck at, so this really helps me skip the stuff I'm already comfortable with.
@oguzhan3864
@oguzhan3864 5 лет назад
The Organic Chemistry Tutor once gave a student private lecture.The student is known as Stephen Hawking nowadays.
@Armyguywizerdo16
@Armyguywizerdo16 5 лет назад
he ded now
@nihatdonmezov8354
@nihatdonmezov8354 3 года назад
Are you turkish?
@diags_1109
@diags_1109 2 года назад
was
@wickedtiger1553
@wickedtiger1553 5 лет назад
bro Imma have a maths test in 2 hours.. prof made all these incredibly convoluted.. I absolutely love the straightforward manner you built up this video. it is incredible that some people can sum up months of curriculum in 45 minutes and everything is clear, all seems easy and meaningful in contrast to endless lessons in uncomfortable chairs mad respect
@Filthyt
@Filthyt 4 года назад
This is more like 1.5 weeks or so
@SirChesterElderberry
@SirChesterElderberry 2 года назад
howd you do?
@lambda5949
@lambda5949 2 года назад
Tbf tho actually learning the content vs memorizing the formulas are completely different. As a review tool, this is great but if you get asked a single out-of-the-box question that requires deep knowledge of the topic then just knowing a bunch of formulas isn't gonna give you the intuition to actually unpack any of this. I'm self-studying for BC and I find it helps a lot to watch these vids in tandem with another explanatory resource like Pauls Online or Khan Academy, which usually have intuitive explanations or proofs of each concept.
@dhuka4969
@dhuka4969 2 года назад
@@lambda5949 but it means nothing to me whether I memorize the formula or understand the formula, I just need a pass in order to continue my university study which is nothing about maths. It is just silly that my school make maths compulsory even for the history major.
@lambda5949
@lambda5949 2 года назад
@@dhuka4969 Oh yeah, in that case, this vid makes sense, didn't think universities required that kinda thing so I was assuming this vid was tailored for high schoolers.
@realndu
@realndu Год назад
watching this 1hour before my exam 💀
@Microwave342
@Microwave342 4 месяца назад
How did you exam go?
@realndu
@realndu 4 месяца назад
@@Microwave342 I passed lol 😂 Thanks for asking ;)
@saifkharadi3010
@saifkharadi3010 4 месяца назад
@@realndu did u ever study before watching the video
@realndu
@realndu 4 месяца назад
@@saifkharadi3010 Yeah yeah I did. But I usually leave the Topic of Series last. Hence I did it last minute.
@beneder5772
@beneder5772 5 лет назад
I just want to say thank you so much. I watched a bunch of your videos on Calc 2 and I just aced my second exam. 100/100. Thank you so much you have no idea how much you truly help people.
@The-Khatalyst
@The-Khatalyst 3 года назад
Why have I looked everywhere in my book, the recorded lectures, other math books, etc. to find a list of the tests and how/when to use them, and this is the only resource I've seen that actually goes through them. You are truly God's gift to students, sir.
@Kaptiv239
@Kaptiv239 3 года назад
Bro if I ever hit the lottery I’m giving 10% of my total winning to you. You’re the closest thing our world has to a modern day Jesus.
@jameskennedy674
@jameskennedy674 3 года назад
You're never going to hit the lottery and you're certainly not giving him 10%.
@funnyvideos1030
@funnyvideos1030 4 года назад
You explained 43 minutes, that's already like 3 weeks of calculus II all in 1 video! Thank you so much man!
@nipuniherath1451
@nipuniherath1451 Год назад
We covered this topic within half an hour in our university🥲
@Max-cu6bw
@Max-cu6bw Год назад
@@nipuniherath1451 you covered 11 topics in half an hour??? u need a new university bro. that makes no sense. maybe 30min-1hr for each topic but not 30 min for all 11 lol.
@benjaminwhitehead4050
@benjaminwhitehead4050 10 месяцев назад
@@Max-cu6bw Yeah we did all of these with sequences in one lecture
@richymanzo9817
@richymanzo9817 5 месяцев назад
@@nipuniherath1451 30 minutes??? This is like 20% of all the content for calc 2
@LuisCruz-ns3bt
@LuisCruz-ns3bt 5 месяцев назад
@@benjaminwhitehead4050 Over here at UT it's the same case lol they treat calc 2 as a weed-out class
@JazzyLove80
@JazzyLove80 6 лет назад
i am retaking calculus two because of this chapter, and I am currently relearning it and still barely getting it but this video is saving my life tbh !!!
@batuhan8964
@batuhan8964 5 лет назад
so how did it go?
@greypoint000
@greypoint000 5 лет назад
It was so bad they died on the spot. Rest in Peace Jaz
@asleyvictor5627
@asleyvictor5627 5 лет назад
@@greypoint000 let's have a moment of silence for Jaz
@CluckYou21
@CluckYou21 5 лет назад
I had to retake it as well, I’m passing with a 90% now!
@Phenrex
@Phenrex 5 лет назад
SchmidtyBangBang Me too! Glad I’m not the only one who is retaking it and smashing the course lmao
@tecseven7
@tecseven7 5 лет назад
2x speed, time to cram.
@XWorldXWideX
@XWorldXWideX 4 года назад
LMAO. That’s impossible to follow 😂
@shineka5065
@shineka5065 4 года назад
Mood 🧟‍♂️
@yusuf_kizilkaya
@yusuf_kizilkaya 4 года назад
@@XWorldXWideX set it to 1.5, get used to it then try 2x
@TerryOnVinyl
@TerryOnVinyl 4 года назад
lolol
@Armand__
@Armand__ 4 года назад
@@XWorldXWideX i always watch his videos at 2x
@loganclimer6947
@loganclimer6947 2 года назад
Pray for me boys, it’s 2 am and this calc test determines if I pass or bot
@rachelpark4992
@rachelpark4992 6 месяцев назад
Did you pass?
@loganclimer6947
@loganclimer6947 6 месяцев назад
@@rachelpark4992 yes
@abdulwahabfanar8588
@abdulwahabfanar8588 4 года назад
my calculus 2 final is in exactly 12 hours and before I started watching your videos 2 hours ago, I had absolutely no idea what this wizard scripture is But now I can safely say that I actually understand it and I'm going to ace the exam tomorrow I can't thank you enough, you are my hero /:
@jdaht
@jdaht 3 года назад
how did you do
@vaiterius
@vaiterius 3 года назад
how did you do
@axlrose5082
@axlrose5082 3 года назад
@@vaiterius he died
@diags_1109
@diags_1109 2 года назад
@@axlrose5082 its safe to say, yes he died
@racheltracy8124
@racheltracy8124 2 года назад
@@diags_1109 Res in peace
@ryuisonline8816
@ryuisonline8816 5 лет назад
Did I actually understand something?
@quocnhutdang4595
@quocnhutdang4595 5 лет назад
I wanna say thank you. This video is so helpful. I got 96/100 in my third exam
@paolameneses3075
@paolameneses3075 3 года назад
I cannot put into words how much this channel has gotten me through college. My man you are an absolute legend!
@kateryna1611
@kateryna1611 3 года назад
Same!
@jinseinoowari2427
@jinseinoowari2427 2 года назад
Hello ap calc students! ^^ Best of luck on the ap exam :D
@curtistrinh5654
@curtistrinh5654 6 месяцев назад
how are we supposed to remmeber all these test?
@beastbuilds9741
@beastbuilds9741 5 месяцев назад
exactly 😐
@warnfreezer
@warnfreezer 5 лет назад
Imagine paying for Prep101 when u have this guy
@Javill_Driz
@Javill_Driz 2 года назад
I watched this video 4 hrs before my calculus exam and I understood all about the tests in 43:51 minutes #wow.....My lecturer spent 4 weeks on this topic and I didn't get anything LOL.....You the best bro
@stavro5198
@stavro5198 Год назад
For the example at 35:58, could you also use the direct comparison test to show that the series is convergent?
@javierrios4647
@javierrios4647 3 года назад
your ability to make multiple high level topics so easy to understand is out of this world, you're awesome.
@britterthecritter4531
@britterthecritter4531 5 лет назад
Got a BC calc AP in 9 hours and not once did I ever understand how to do these, let’s goooo
@Blank-wv3uf
@Blank-wv3uf 4 года назад
Bro you're the saviour of all engineers. All hail O-Chem Tutor
@EliseToole
@EliseToole 4 месяца назад
Here because AP Calculus BC on Monday 💀💀💀
@N.O.A_YT
@N.O.A_YT 3 месяца назад
I got one in 3 hrs lol
@obaidi2834
@obaidi2834 6 лет назад
LOL I have a test this Tuesday. Good timing GOAT
@godlytechreviews4
@godlytechreviews4 3 года назад
same
@cesarc6044
@cesarc6044 3 года назад
wtf me too
@down4thecount628
@down4thecount628 3 года назад
good luck on the AP test tomorrow
@MShazarul
@MShazarul 4 года назад
Speed at 1.75, binge watch and practice through James stewart calculus .. All the best lad for your finals!
@aurelionsol5134
@aurelionsol5134 3 года назад
How did that work out for you?
@MShazarul
@MShazarul 3 года назад
@@aurelionsol5134 I got a B minus. That's fantastic, particularly because I'm pursuing my bachelor's degree part-time. I believe the integral questions are the part where I made the most mistakes. In tutorials, the questions given are single problem like u-sub, integration by parts or integration by partial fractions. Just one of each and never a mix of those. But my examination will have an integral question that needs to be solved by u-sub and integration by parts or u-sub and partial fractions, etc.
@MacGuzman
@MacGuzman 6 месяцев назад
19:25 lim n-> inf = 0, he said passes divergent test. I thought he just discussed that a series will diverge if the lim -> inf =/ 0. Yet, his example here claims it approaching 0 passes the divergent test? I am confused edit: It's late. I see my error. "pass the divergence test" does not mean we want the series to specifically diverge. In an alternating series we WANT the lim -> inf = 0 so it *passes* the divergence test i.e. we can continue to prove the convergence of a series continung with the alternating series test by checking the next term is less than or equal to the previous term.
@JohnnyD200
@JohnnyD200 4 года назад
my exam is in 30 minutes lmao, 2x speed >:)
@Beviraku
@Beviraku 3 года назад
Wooo. Cramming for Calculus BC Exam tomorrow :)
@A_Twist_of_Fate
@A_Twist_of_Fate 3 года назад
Good luck!
@reighabaoag6712
@reighabaoag6712 4 года назад
I have a math test coming up in two days and you just summed up 3 weeks worth of notes into a 45 min video!
@dylanholman2000
@dylanholman2000 4 года назад
Currently watching this 2 hours before my calc exam. Let's hope this works.
@aurelionsol5134
@aurelionsol5134 3 года назад
it wont
@-.SkyArt.-
@-.SkyArt.- 9 месяцев назад
What did you get?
@dylanholman2000
@dylanholman2000 9 месяцев назад
Suprsingly a 98%, thank you
@ProdTony-gf9hh
@ProdTony-gf9hh Год назад
I have a calc ii exam in two hours, this video and your channel in general has been a life saver. Before I found your videos I failed my first quiz (50%, mean score being 53%), and after finding your channel I managed to a much better score on my second quiz (85%, mean score being 54%). Thanks to you I can be confident I'll score at least an 80, and even hope for a 90. Honestly i would be failing without your channel.
@I_am_FRANCO
@I_am_FRANCO Год назад
In my uni it’s called calculus 3 whyy
@eulyc.959
@eulyc.959 4 года назад
My calc 2 final is tomorrow and I'm here trying to retain as much information as I can, watching your videos. Thank you, you're a life saver
@prabinlamsal5125
@prabinlamsal5125 5 лет назад
p series is the pewdiepie version of t series.
@baraabilbeisi1904
@baraabilbeisi1904 5 лет назад
That means T-Series is the Telescoping Series
@caninci7379
@caninci7379 5 лет назад
damn u guys are very creative and funny
@roynguyen8492
@roynguyen8492 5 лет назад
makes sense because its the most easiest most likable test
@dylenogarcia
@dylenogarcia 4 года назад
i've been up for 36 hours studying and this made my year
@knightfall6179
@knightfall6179 4 года назад
Me: What is this black magic T-T. Friends: its you understanding the material.
@jeankhoury
@jeankhoury Год назад
Thanks! You saved my life for calculus I have an exam comming up and u really summed it up well :)
@leena5859
@leena5859 5 лет назад
I love your videos but your voice always puts me to sleep even if I'm wide awake 😭 Edit: Man I hate coffee but if I wanna make it through my day I guess I'll have to get one.
@Eyezick-l5z
@Eyezick-l5z 2 года назад
Is there a version of this video somewhere with difficult versions of these problems? These are far simpler than the ones I'm given
@Dylan-bk9bh
@Dylan-bk9bh 4 года назад
Yo Organic Chemistry tutor thank you for your videos, I have a barrier with my teacher and have been struggling in my class. But thanks to you and hours of practice I feel more competent in the subject. I'm sure you get this enough already but thank you for your time and dedication to helping us students out.
@Patrick86575
@Patrick86575 4 года назад
Perfect final is in 40 minutes and video is 40 minutes
@Bobairr
@Bobairr 3 месяца назад
This is my second Academic year in Engineering,,you have always been my reference ever since I started. As I comment on this page today, there is an examination I must sit in a few hours !! Good work and Thank you Sir.
@tahy59
@tahy59 3 года назад
my prof explain this 48 min video in 4 weeks
@jxanxtte
@jxanxtte 5 лет назад
thank you for taking the time of day to make these videos! I don't know how I would get by without you and your videos!
@ryanpark9826
@ryanpark9826 3 года назад
Once again a week before the exam, and I still don't know shit. Thank you OCT
@The053199
@The053199 2 года назад
I got a 100% on my calc 2 final. Thank you with every ounce of sleep that I was deprived of. You deserve it😭😭
@carrigorourke2466
@carrigorourke2466 Год назад
This man deserves the Nobel peace prize because he probably prevented so many violent outbursts from STEM major students.
@HettyPatel
@HettyPatel 4 года назад
One of these days I am about to beat up that "That tutor guy" ad dude. LIKE STOP IT MAN let me just learn in peace. I AM NOT TIRED OF SCOUNGING RU-vid FOR MATH HELP. My boi organic Chem Tutor got me covered.
@chancehall7862
@chancehall7862 6 месяцев назад
These video's are fantastic! I am so thankful that you made these, my cal2 teacher is horrible and you are saving my college career with these.
@ianhenry317
@ianhenry317 5 лет назад
Hell yeah! This video is saving me. Thank you so much for making this! My teacher spent 10 days covering this material, but I did not understand. Watched your video and now I'm ready for the exam.
@overlord5110
@overlord5110 3 года назад
Who else failed a calc exam and watching this for the final
@the_ciphers_eye6822
@the_ciphers_eye6822 Год назад
Ong, I owe my degree to you, an absolute GOAT! This video was literally the reason I got a 93% on a 50% avg sequences and series exam!
@carlitobrigante9740
@carlitobrigante9740 4 года назад
18:18 there was the baby sound on the background i think he is a married guy around 20ish
@c1-math12
@c1-math12 3 года назад
No need for Lhopital rule, take higher/higher
@ThePopularMMOS
@ThePopularMMOS 5 месяцев назад
Thank you :)))))
@hibspliddu
@hibspliddu 5 месяцев назад
You bum. I love you. Marry me
@hibspliddu
@hibspliddu 5 месяцев назад
0 seconds ago is crazy 😂
@saik9584
@saik9584 3 года назад
I dont know how to thank you. I understood these concepts, thank you so much, god bless you!!
@nanaoseitimon1793
@nanaoseitimon1793 Год назад
Kindly bring up more challenging examples to solve for us cos our lecturers aren't having mercy on us in our exams
@imlouischo
@imlouischo 5 лет назад
Thanks for your help. This really helped me with AP Calculus BC
@bicboi46
@bicboi46 5 лет назад
To many tests to remember :( wtf
@rickybobby5584
@rickybobby5584 4 года назад
understanding the limit a_n when n approaches inf is the key and it saves you all these rules because if the limit is zero, the series converges and if its not zero then it diverges.
@corsegau_2465
@corsegau_2465 Год назад
My calculus final resulted this day, and I probably got 30-40 point by watching this video on the night of the day before the exam. Thanks man. Even though my math is good, I was confused by many tests in series topic. Great explanation video without confusing parts.
@joshuac87
@joshuac87 Год назад
You mind teaching my calc class? You basically just taught the last 4weeks of classes in 44minutes
@parkernoor3268
@parkernoor3268 6 месяцев назад
I’m watching this video from the exam hall
@brankrume6440
@brankrume6440 9 месяцев назад
Calc final tomorrow, wish me luck
@obww306
@obww306 7 месяцев назад
Good luck 👍
@-.SkyArt.-
@-.SkyArt.- 9 месяцев назад
Currently learning Calculus right now and this is a lifesaver. Thank you!!
@hassansaqib13
@hassansaqib13 3 года назад
This Man is a life saver. I am in the first semester of my university, and have a calculus exam coming up. Since I unfortunately contracted covid during this sem, i was unable to study properly. This Man literally summed up an entire chapter which my teacher taught in 3 weeks, in LESS THAN AN HOUR! And i literally feel so confident after this. Man, you are so special! I wish I had a teacher like you!
@protgy
@protgy 4 года назад
this series has helped me a lot with my examns, however the part where you are calculating de limit of certain things can be easier by just taking the coefficient of the unkown X with the highest exponential
@thenumber1bobo
@thenumber1bobo 6 лет назад
Who disliked this? This is so nice and concise, with practice problems to boot. Perfect.
@cristinamaldonado1446
@cristinamaldonado1446 4 года назад
Who else is cramming for their Calculus exam?? ^_^ Many months of calculus are squeezed in a "series" of a few mins. videos (pun totally intended)
@harrywu3102
@harrywu3102 4 года назад
I should see this video earlier before the final exam.
@nekaamunoz
@nekaamunoz 3 года назад
Gracias profesor, es usted un hombre increible, teengo un examen en 6 horas, recen un ave maria por mi, quiero vacaciones. Un saludo desde madrid
@euclid9492
@euclid9492 5 лет назад
You have a gift for being able to condense a lot of information into one video and have the viewer leave with a good working understanding of the topic. You are the best math youtuber in this regard! Thank you!
@seanfreyne8050
@seanfreyne8050 2 года назад
Simply the GOAT. Greatest RU-vid video I’ve ever watched from an educational perspective. Organic chemistry tutor I love you
@joseph_tuckerman
@joseph_tuckerman 3 года назад
fuckkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
@SuperAce780
@SuperAce780 4 года назад
bc exam at 2pm tmrw... currently 9pm the night before. i have yet to learn series. thank u .
@WhisDragonBallSuper
@WhisDragonBallSuper 4 года назад
You need only the taylot test to make the video perfect however great work 👏💪
@bjornborgar
@bjornborgar 4 года назад
Why are all of you learning this for calc 2. This is on my calc 1 final exam
@abdulhaseeb2148
@abdulhaseeb2148 4 года назад
mine too
@WhisDragonBallSuper
@WhisDragonBallSuper 4 года назад
That's is in my calculus 4
@vishnuakundi4766
@vishnuakundi4766 5 лет назад
You explained each of the methods really well but when should I use which test? Most of the time multiple test work right. So is there a hierarchy or "flowchart" on what we should try?
@loganunger2405
@loganunger2405 5 лет назад
I have a flowchart thing but I recommend just looking at the series and seeing which one fits the situation the best.
@vishnuakundi4766
@vishnuakundi4766 5 лет назад
@@loganunger2405 Oooooh, is there anyway you can send the flowchart? How would this work lol?
@joseispoisoned
@joseispoisoned 5 лет назад
@@vishnuakundi4766 When in doubt, start with the divergence test. The geometric, p-series, and root tests pretty much have to look like how he showed in the video: Geometric will have a ratio raised to the n, p Series will be 1/(n^p), root test will be when there are multiple things raised to the n (if you're taking the AP test, i think you don't actually have to know this test, but it is very helpful i certain situations and can be used instead of the DCT or LCT). If it has an alternator [(-1)^n] then it'll probably be Alternating series test. It'll be Telescoping if it looks anything like what it did in the video. Ratio test could probably be used with almost any problem that can use the Direct Comparison Test and Limit Comparison Test. If it looks like you can take the integral of the series pretty easily, try the Integral test. Getting a feel for what test to use depending on how the problem looks would probably be more beneficial than just memorizing a flowchart.
@georgesadler7830
@georgesadler7830 2 года назад
Professor Organic Chemistry Tutor, thank you for a monster review of the different tests for Convergence and Divergence in Calculus Two. This is a tremendous amount of material for a student to absorb in Mathematics. The old fashion way to learn any subject is practice and pattern recognition. This is an error free video/lecture on RU-vid TV with the Organic Chemistry Tutor.
@nrnrlola7157
@nrnrlola7157 Год назад
It's currently 2:26 a.m, where i'm living,i've been binging your youtube channel because it's finals week . My test is in about 7 hours . Im lacking sleep AND information . Send help SOS.
@saifoosy7792
@saifoosy7792 Год назад
Thank you. I love you so much. Calculus is not that hard we just need the professors to teach the same way you do.
@leilacx1088
@leilacx1088 5 лет назад
THANKS MY AP BC CALC EXAM IS TMR!
@guillermohoffmann7837
@guillermohoffmann7837 5 лет назад
Aye, mate. Let's both get 5's
@mikeedwards6957
@mikeedwards6957 5 лет назад
5 hours......
@flutemcglute
@flutemcglute 5 лет назад
do you have a recommended order of testing after the initial divergence test? Or is it free-for-all like integration methods? Thanks in advance
@jgruen9854
@jgruen9854 5 лет назад
1. Divergence Test 2. Ratio test 3. all other tests 4. integral test
@nicholasdupont2468
@nicholasdupont2468 3 года назад
@@jgruen9854 Hi Jonathan. Why do you like the ratio test before the others? I'm still learning. Thanks.
@rhysespieces_
@rhysespieces_ 6 месяцев назад
This person is singlehandedly saving my calc 2 grade T-T
@AbdulRahman-ju6wk
@AbdulRahman-ju6wk 5 лет назад
I'm in my first semester and have this in calc 1 wth????
@jonahleonard5732
@jonahleonard5732 4 года назад
Watching this cause I’m about to retake the series test. I got a 26 on the first one.
@michaelnjoku5026
@michaelnjoku5026 Год назад
Hey can you please make a video on SHIFT OF INDEX OF SUMMATIONS please?
@BaconBearOfficial
@BaconBearOfficial Год назад
bro knows everything
@hannahgon
@hannahgon Год назад
16:02 geometric series 17:59 alternating series 22:04 telescoping series - partial fractions 29:26
@stuffsintown7365
@stuffsintown7365 3 года назад
I think the problem at 37:31, we can use direct comparison test instead of limit comparison test since the bn is larger than an already
@DarkKnight-ox2mg
@DarkKnight-ox2mg 2 года назад
Calc exam in an hour. This is clutch.
@Ali_Alhakeem
@Ali_Alhakeem 2 года назад
i have exam tommorow after 12 hour , this saved me thanks for making these amazing courses !
@Ali_Alhakeem
@Ali_Alhakeem 2 года назад
I Passed the exam
@bzunderdog695
@bzunderdog695 2 года назад
Yo studying last min for a important calc test was panicking until I found this review video. Also Duke Bozikowski thanks bro for the time stamps you're the real Life saver in combo wtih the Organic chem teach
@bzunderdog695
@bzunderdog695 2 года назад
my hands are partially frozen and Im typing fast so forgive my grammar mistakes
@mathalysisworld6693
@mathalysisworld6693 Год назад
At 30:52, I really like the way you said "excuse me" . I realised, at least the man whom I am learning with is not a robot.
@merterdem9345
@merterdem9345 Год назад
best video ever in the history of youtube imo ngl
@bajesh1991
@bajesh1991 5 лет назад
PewdiePie v. P-series who will win?
@unisonfung2399
@unisonfung2399 5 лет назад
T gay
@unisonfung2399
@unisonfung2399 5 лет назад
Congratulation
@aliosamaalmalki58
@aliosamaalmalki58 Год назад
you are so professional. you are better than my doctor lol.. thanks man.. god bless you ! I hope that you can achieve what you want to achieve in your life. edit:you gained a new subscriber ..you are a legend!
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