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Limits in Calculus: Definition & Meaning. What is a Limit? 

Math and Science
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In this video, we unravel the concept of limits, providing you with a comprehensive understanding of this fundamental idea in calculus.
A limit is a powerful tool that enables us to analyze the behavior of functions as they approach specific values or infinity. But what exactly is a limit? How does it relate to the intuitive notion of approaching a value? We'll answer these questions and more!
Join us as we break down the definition of a limit step by step, ensuring a clear understanding for both beginners and those seeking a review. We'll explore the formal definition, involving epsilon and delta, and explain its meaning in simple terms. We'll illustrate the concept with real-world examples and visually engaging animations, making the learning process enjoyable and intuitive.
Whether you're a student striving to master calculus or simply someone with a curiosity for mathematical concepts, this video is perfect for you. Don't miss out on enhancing your understanding of limits and unlocking the power of calculus. Hit that play button and let's embark on this enlightening journey together!
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Twitter: / jasongibsonmath

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15 май 2023

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Комментарии : 63   
@ashleyprince701
@ashleyprince701 3 месяца назад
Finally a math teacher that understands the importance of why. The frustration that comes with not understanding why something works has been the sole reason Ive given up on math in the past and now I feel like I’m actually making progress with my understanding!
@lyricass7810
@lyricass7810 2 месяца назад
Same here😢
@diaryofawimpycollegegirl5149
@diaryofawimpycollegegirl5149 2 месяца назад
you really get it. i used to think that I was so dumb but I've realized as I have gotten older that I often get stopped at "why" and when no one ever explains it I just feel like I'm memorizing stuff that is pointless or yeah sure I can figure out the equation but what does any of it mean? i think that there would be a boom in the interest of math and science if the fundamental reason of why was explained
@nickkerr7597
@nickkerr7597 2 месяца назад
Agreed. Other videos assume you already know ‘why’ and if you don’t you’re dumb
@jackmoen3460
@jackmoen3460 4 месяца назад
not only is your teaching style far beyond everyone else, you focus on topics that a foundational to moving on. thank you and keep up the good work 👍
@wilkyclergeot9416
@wilkyclergeot9416 Год назад
"Super incredible teacher nobody's can't beat your knowledge big ❤️"...
@salmantech8579
@salmantech8579 8 месяцев назад
amazing .easy to understand
@infinite3574
@infinite3574 18 дней назад
This Channel deserves more
@pacificojr.pabalenas-qg2sl
@pacificojr.pabalenas-qg2sl Год назад
Since college I've been watching your videos. More power and may God bless you always sir. Keep healthy.
@elitesoccerblogs4947
@elitesoccerblogs4947 5 месяцев назад
You are the best teacher ever thank you so much for everything you do.
@fthitekle9354
@fthitekle9354 4 дня назад
I wish every teacher were like him. 📚🌿
@infinite3574
@infinite3574 18 дней назад
You've given the formal definition and you are explaining all the basics really well. I just can't understand without a defination thanks a lot the definition is crystal clear now 😊😊
@Kim-ej2xm
@Kim-ej2xm Год назад
You are one of the best teachers and generous persons.
@Anik73
@Anik73 Год назад
Hi, I am from Bangladesh. I like your teaching method. I am a student of the Textile engineer department
@hovgh1347
@hovgh1347 Год назад
amazing, I wish you had your videos in playlist so they play in the correct sequence but the teaching method is amazing, great videos . .thank you
@maxfan6035
@maxfan6035 6 месяцев назад
I’m home teaching two 7th graders calculus now. I let them wrote a python program to calculate the function of y=(x² -4)/(x-2) within the range of (-10,10), then drew the graph of the function. They observed that there is a crack at x=2 in the graph. And the more numbers they sampled within this range, the more smaller the crack is. The function is getting closer to 4 infinitely and that’s the limit. They got it. Still, they have difficulty to fully understand the definition. I agree the definition is the rigorous way to define this concept, but why the definition is so chalky? I believe the reason is the mathematicians were challenged with some edge cases which made them to give such a wording of the definition to hedge the concept from being breached. If we could find those edge cases, this definition might look smoother to us.
@premkumar9608
@premkumar9608 Год назад
Anybody can teach Jayson, your teaching is class. Understanding is the key for any subject that's what you do.
@brianabbasphiri2317
@brianabbasphiri2317 16 дней назад
Its very impressive, you are the best
@abl4440
@abl4440 9 дней назад
Fabulous explanation . Thank you so much sir..
@qzorn4440
@qzorn4440 Год назад
Very well explained! Great for a beginner or a refresher. 😎 Thank you so much.
@furqantaus
@furqantaus 5 месяцев назад
Outstanding you are teaching method is superb ❤
@unes8307
@unes8307 Год назад
The easiest, clearer way a limit can be explained, thanks
@axiomist4488
@axiomist4488 Год назад
I have no knowledge of Calculus, yet I totally understood this ! Only question I have is : What Is This Used For ???
@KehindeIdowu-pd3ui
@KehindeIdowu-pd3ui 2 месяца назад
Very explanatory💞
@NatashaEllington-yu7ft
@NatashaEllington-yu7ft Год назад
Hi, I'm watching from Solomon Islands... You're an amazing teacher
@muazmaboota9977
@muazmaboota9977 9 месяцев назад
Such a great tutor ❤
@BaligyeFred
@BaligyeFred 8 месяцев назад
You a real definition of science
@munyuconeliusgodblessupyou176
@munyuconeliusgodblessupyou176 11 месяцев назад
Your teaching is awesome
@mwansachabushiku-9661
@mwansachabushiku-9661 6 месяцев назад
Wow! Brilliant explanation
@khaulabeeviali8312
@khaulabeeviali8312 6 месяцев назад
Thanku sooo much... Now I clearly understood the concept of limit
@michaeldaugherty6826
@michaeldaugherty6826 4 месяца назад
Oh! Thank God!!! Thank you so much!
@flat1234
@flat1234 4 месяца назад
Excellent. Thanks.
@victorvasquez5418
@victorvasquez5418 9 месяцев назад
Thank you for your help Good job
@thatomofolo452
@thatomofolo452 Год назад
Noted with thanks ✍️✍️✍️💯💫
@danielnathaniel6515
@danielnathaniel6515 3 месяца назад
God bless you. This is the forst time I comment on you RU-vid video.
@sandhuaditya4855
@sandhuaditya4855 2 месяца назад
Beautiful explanation Sir
@guliyevshahriyar
@guliyevshahriyar 8 месяцев назад
Thanks a lot teacher.
@chaththamanuja7371
@chaththamanuja7371 6 месяцев назад
Thank you 🙏
@joabfilandus1999
@joabfilandus1999 Год назад
Wow I love it tr. So incredible 🎉🎉 . Thank you ❤
@MathAndScience
@MathAndScience Год назад
Welcome!
@EricPham-gr8pg
@EricPham-gr8pg 2 месяца назад
If we notice as we point a hand near a flying feather we see it move away as we get near so in the function of nani level is where we can never touch it that is why first law of thermo dynamics say we can never measure nothing. Then would it be better if we define a threshold is better because we can quantify by a real value of within tolerance then we know reality and not guessing
@user-nz4db6us1c
@user-nz4db6us1c 9 месяцев назад
Well explained
@avausa
@avausa 5 месяцев назад
My God! Fabulous explanation! Thank you soooo much!!!
@MathAndScience
@MathAndScience 5 месяцев назад
Thank you so much!!
@hamzajilali9589
@hamzajilali9589 6 месяцев назад
Majestic 👏👏 thank uu
@user-jx6rt6on9i
@user-jx6rt6on9i 2 месяца назад
Thank you sir
@naoussiemmanuel5665
@naoussiemmanuel5665 6 месяцев назад
Very very incredible you help a lot of people keep up you have gained a new follower❤
@user-bf6rm2bm8i
@user-bf6rm2bm8i 5 месяцев назад
i love you more than my calc teacher
@PETERNJENGA-gg4oq
@PETERNJENGA-gg4oq 5 месяцев назад
My lecture's explanation does not even come close to yours sir. You are legit
@maplemio
@maplemio 10 месяцев назад
thank u so much
@navaneeth.k.v
@navaneeth.k.v 3 месяца назад
Thank you
@hemrajue3434
@hemrajue3434 Год назад
I think, the limit of a function is unique at a given point as we know that the limit doesn't exit if RHL is not equal to LHL. Eg. lim x->0 1/x LHL: lim x->0- 1/x=-infinity RHL: lim x->0+ 1/x=+infinity. Hence limits doesn't exit.
@mr.a9241
@mr.a9241 Месяц назад
Thanki you
@taoqian9077
@taoqian9077 Месяц назад
Epsilon and delta can not only be very-very small, but also can be very-very big)
@EricPham-gr8pg
@EricPham-gr8pg 2 месяца назад
In real life 3 dimension we face time and space need consideration.. So the point limit , line limit , surface limit , and the volume limit and time had all kind of leak because space is not a flat surface
@rebecca7403
@rebecca7403 2 месяца назад
@12:13 did you mean to say approaching a? or x?
@robstabuza7674
@robstabuza7674 7 месяцев назад
Wow you gave limit for limit that stressed us
@ruthrodriguez4941
@ruthrodriguez4941 8 месяцев назад
What is his name
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
limit
@thebusz5143
@thebusz5143 9 месяцев назад
Enough
@su-fg7mq
@su-fg7mq 10 месяцев назад
Please stop repeating
@yourgrandpa1013
@yourgrandpa1013 7 месяцев назад
He doesn't know that some of us are here in the morning of our exams😭
@arlenestanton9955
@arlenestanton9955 6 месяцев назад
He’s trying to to say it many different ways so, everyone gets it.
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