Ramanujan Paradox | 1+2+3+4+....... = -1/12 | Aman Sir Maths

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Ramanujan Paradox | 1+2+3+4+....... = -1/12 || Bhannat Maths | Aman Sir Maths
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27 окт 2021

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Комментарии : 2,6 тыс.

@abhishekkhulbe3905 2 года назад

I just shocked to see that how the sum of all natural numbers is -1/12 . A humble salute to the one and only S. Ramanujan

@dipikaghosh6224 2 года назад

It's a paradox

@silverfangg45 2 года назад

@@dipikaghosh6224 string theory me lagta hai

@eigenfeynman9890 2 года назад

@@silverfangg45 nope

@jayantsingh3078 2 года назад

@@eigenfeynman9890 In String theory it uses

@binodtharu8348 2 года назад

@@silverfangg45 agr string theory mei lgta hai to hm kya kre string theory is just a "theory" and i think u should google the meaning of "theory".......(i mean string theory is not like it could be 100 percent true)

@techmaster6587 Год назад

"An equation for me has no meaning unless it expresses a thought of God!!" ~ *S. Ramanujan* ♥ *JAI NAMAGIRI THAYAR DEVI* 🚩♥

@IIT24Aspirant Год назад

So that's why he was so much interested in infinity equations?

@techmaster6587 Год назад

@@IIT24Aspirant yepp!

@cassianperera2426 Год назад

Ramanujan is a true genius in Mathematics, according to this statement mentioned by him.

@jod5783 Год назад

Aa gaye gawar

@cassianperera2426 Год назад

It is exactly true that the Ramanujan's statement.

@vinaykumarsingh6223 Год назад

The line " fat gyi thi .....aankhe logo ki"is just OP 😂😂😂😂😂

@Southmovies509 Год назад

😂

@DeepakKumar-iy1ck 4 месяца назад

😂😂😂😂😂

@sudhirkumar-kp5lc Год назад

Ramanujan in one of his papers also dropped hints to form the equation of a black hole in one of his letters. It's crazy how much he would have contributed to mathematics had he been introduced to it earlier.

@SagarsAudioHub 2 года назад

"Mathematicians होते ही साफ दिल के" 😀❤️🙏 Sir Ramanujan was the hero , is the hero and will be the hero 🙏 Big salute to him. And, your teaching is fabulous sir ji 💞

@theharo4084 Год назад

Mathematician bolke illogical baat bhi bolrhe ho

@hridayjoshi7247 Год назад

Meri bhua to nahi hai

@cheapdealskabanda7709 Год назад

@thegames4499 Месяц назад

kyu bhai tumhara knowledge jayada ho gaya hai kya kya tum ramanujan se zayada gyani ho

@shouryashukla5817 Год назад

Well it was destined to be paradox, as the very first series 'A' is a paradox itself, as the sum of 1-1+1-1+1-1+1-1+...... Can be either 1 or 0 depending on the last quantity of the series, as it's till infinity it's unclear what is the last numeral, so the answer should be either 1 or 0, but, by solving this series i.e. by taking common we got 1/2, it's actually impossible, I think it's the average of 1 and 0, and we can't solve maths by taking a contradictory value and further assigning it, hence sum of all natural numbers was destined to be a paradox.

@Supriyobiswas649 11 месяцев назад

Finally, someone who actually knows how math works.

@lorex340 10 месяцев назад

ru-vid.comGfBXmTDz15E?feature=share

@samarthgupta5981 9 месяцев назад

Exactly, well that's the beauty of infinity in such problems, we know something is there which is distorting the true value but we can never find it coz it's ♾️😂

@indmh20shreyas42 9 месяцев назад

Yeah,if th no. of terms,if are even ,then the sum is 0 and if odd,then 1😊 well said ,bro!

@ETM247 8 месяцев назад

Exactly

@swapnilsinghrathore9846 Год назад

Sir,मेने पहले भी महान आदरणीय श्री रामानुजन जी की paradox के बारे में देखा और समझा था,परंतु आपने बड़े ही सरल तरीके से इसको समझाया और रामानुजन जी के बारे में बताया इसके लिऐ आपका बहुत बहुत आभार 🙏🏻🙏🏻🙂🙂

@subramaniams6091 Год назад

Humble Pranams to Ramanujan Sir. Besides, the tutor’s narration is exceptionally brilliant.🎉

@gaurangagarwal6508 Год назад

Just 1 word Salute to Mr. Ramanujan ji

@pulsar2977 Год назад

that's 5 words...

@alpha54321 Год назад

@@pulsar2977 lmao bro .but Ramanujan sir 🙏.

@DakshJee-xx7bj 2 месяца назад

Thats 5 words

@goldandsilver415 Год назад

A Mathematitians who breaks the law of Mathematics 😵 Salute to the legend Proud to be an indian

@ara8875 Год назад

Laws of mathematics are never break they are generlize

@O-Kyklop Год назад

He didn't brake any law. he just didn't know what the Infinite really is.

@BorutoOtsutsuki__ 5 месяцев назад

@@O-Kyklopfr there are many loopholes in the term infinite itself , smart mathematicians can make more equations like this

@O-Kyklop 5 месяцев назад

@@BorutoOtsutsuki__ The loopholes are in the mind of the ignorant. Basically, the Infinite has no numbers. So, there are not much equations a mathematician can make and this for a simple reason: the equations may have no end but have always a beginning whereas the Infinite has none. Basic school stuff.

@dhrubaganguly7758 3 месяца назад

Why are you breaking english grammar rules?@@O-Kyklop

@yourenglishtour Год назад

Ramanujan's story is mind blowing. Eyes tear when I hear about his magical mind of maths...😍

@OmPrakash-nw4ip Год назад

Proud to be an Indian. Huge respect for S. Ramanujan 🙏🙏🙏🙏

@macbcheesy 2 года назад

I swear, one of my favorite things about math is that we don't need to speak the same language to understand it. He's taught me more in this video than I learned watching the others.

@badriiyengar Год назад

But, certainly that is not the evidence to prove here your teacher ( author of the Upload ) is correct here. Everybody knows that 1 = 2 would be cirrect when 0 can be accepted to be denominator as well as Numerator!

@morbius9537 Год назад

@@badriiyengar what crack you smokin?

@xyyzxg Год назад

@@badriiyengar I think you skipped simple math. You can't divide a number by a number which doesn't exist that is 0. If divided by 0+ then it tends to infinity.

@badriiyengar Год назад

@@xyyzxg I have not come here to enter into a debate. My post implied that Zero can not operate as a Denominator, for it would lead to ubsurdity, like producing a number from nothing. Sad part is that you have not understood what I meant( implied). By the way "X" to the power of Zero is 1 only when "X" is any thing but Zero.

@zebt7477 8 месяцев назад

Tu galat Sikh rha hai

@amaanalrashid8273 2 года назад

The best channel to fall in love for mathematics

@silverfangg45 2 года назад

The proof is wrong

@amaanalrashid8273 2 года назад

@@silverfangg45in which class are u studying now

@silverfangg45 2 года назад

@@amaanalrashid8273 12 see this ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-YuIIjLr6vUA.html Ye mathlogger ka video jisne numberphile bolke ek channel usme ek bande ne same proof kia tha ye sir jaisa usko galat bataya hai prove itna simple nahi hai Numberphile video 👉 ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-w-I6XTVZXww.html Ye sir jee ke lia sahi hai lekin general higher topics ke lia nahi pata .

@konceptmathematics 2 года назад

Maine Ramanujan summation par atleast isse better video banaya hai

@konceptmathematics 2 года назад

And please do subscribe the channel

@paurusshukl4892 6 месяцев назад

Rules of finite maths don't apply to infinite series.

@KSJGaming 8 месяцев назад

imagine a number n such that 1+2+3+...+n=-1/12 we get n and then u see 1+2+3+...+infinity=-1/12 dont u think infinity will be defined then?

@animeshkumar8396 2 года назад

I feel very proud of a teacher like u who remembers the contribution of legends and make us aware of their story..A BIG SALUTE TO U SIR...And ur way of teaching is just intresting and ADDICTIVE..THANKS for sharing their stories

@MrDrgdf 2 года назад

भगवान कसम इससे चूतिया intro आज तक नही देखा

@Rhythmraj009 2 года назад

ye sirf paper par proof ho sakta h na ki physically agar hum dhyan se dekhe to numbers ke sath ki bhi khel sakta h par ramanujan was great.......... par hume ye nahi bhulna chaiye ki agar ye equation humne use ki to hum physics ke rules ko tod rahe honge

@UdaySingh-pp6ee 2 года назад

Tum chutiye ho..math smjh m aata to tumhe pta chalta ki kya shi hai kya glat... Aise hi upar upar s log kisi pdf s koi problem solve krk tumhe dikhayega aur tumhe lgta h ki bhut shi ..wah wah.. Bhai..ku6 Janna hai to jakr books pdhi..aur smjho.. Tum jaise logo ki wjh s koi bhi teacher bn jata h.. koi bhi Paisa kama rha h.. Aise hi science experiments krne wale channel hai jin salo ko ku6 pta nhi hai kya hota hai reaction m..kyu ho rha h..bs idhr udhr ki copy krk experiment kr denge aur tumhare jaise chutiyo ki line hai hi unko subscribe krne k liye,,

@madhabimandal2280 2 года назад

@@Rhythmraj009 bro no,this series is used to prove string theory.Aye phy banate hain,thodta nahi hai.

@madhabimandal2280 2 года назад

@@Rhythmraj009 if you don't believe me you can read online materials

@sidindian1982 Год назад

While preparing for data science mathematics ( linear algebra CALCULUS, STATS & discrete mathematics )..i truly think of Sri Ramanujan sir 🙏❤️❤️🙏🇮🇳

@samiullahk7223 Год назад

Y not god?

@aadityagururani7519 Год назад

@@samiullahk7223 why not ramanujan?

@cxnaruto4931 Год назад

Maths God= ramanujan hence proved

@cxnaruto4931 10 месяцев назад

@@IsaacNewton818 sir pliz laws vapas lelo apne 🙏

@zarapkarajinkya4034 Год назад

I think the paradox happened because series A was supposed to be 0 but became 1/2

@praveenkumarsingh1436 8 месяцев назад

Not always zero. It depends on the number of terms in the series, whether it is odd or even if it is even sum is 0 if odd, sum is 1.

@shivamkumarrai8598 8 месяцев назад

@@praveenkumarsingh1436but in no situation it can be 1/2

@nitinmaharana3706 8 месяцев назад

@@shivamkumarrai8598 They used average because we really cant if the last digit of infinity is odd or even ,so we are forced to take 1/2 but its not accurate we say it as the closest sum of all natural numbers.

@abhishankpaul 7 месяцев назад

You don't know whether infinity is odd or even. If you consider the partial sums, if the series contains even terms, sum is 0 else 1. There is no way you can have 1/2. You cannot take averages as well

@subhashpatil2833 11 месяцев назад

Salute to Ramanujam. Sir you explained in excellent manner. You are real maths master.🙏🙏

@justmath331 2 года назад

Finally someone made me understand this series without calculus Thank you very much sir

@ankurgupta9106 2 года назад

This video is wrong in so many levels. He is fooling you

@anubhabmondal5342 2 года назад

It is not the real proof...this proof is proposed by numberphile youtube channel then everyone copied it....this proof does not exist because of divergent series...the actual proof is coming from complex field...

@ankurgupta9106 2 года назад

@@anubhabmondal5342 yeah mathaloger made a 40 minutes long video explaining why this proof was wrong.

@gauranshkapur8977 2 года назад

@@ankurgupta9106 yes that video explains everything very clearly

@shashwatINDIAN Год назад

Basic mathematical operations (+-÷×) can only be applied to convergent series. But 1+2+3+4+6+......... is a Divergent series, so mistake starts from the point we assume the value of this series to be a constant just by doing addition substracting. By the way Mathematically applying the basic operations, even 1=2 can be proved and according to that any two given distinct numbers can be proved equal to each other but that's not true. 1≠2, 2≠3, 3≠4,..... But very easily it can be proved that 1=2, 2=3, 3=4,.....

@chaitanyatale4666 2 года назад

SALUTE TO THE GREATEST MATHEMATICIAN OF ALL TIMES RAMANUJAN SIR🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻

@blacklegend2438 Год назад

0 was found by aryabhatta who was Indian and infinity was found by ramanujan sir the first number and last number both were found in india

@abhishankpaul 7 месяцев назад

Except for the last one. Infinity was known more or less to all mathematicians across all civilizations. Any sane person will say that numbers have no end

@XYP-ER_GAMING 4 месяца назад

Bhai Comment me saare bade bade mathematician bethe hai or me biology ka student galti se yaha aa gya💀💀💀

@saranathantg Год назад

While my great admiration is for Ramanujan, I am grateful to you for bringing to light in simple way his greatness. Thank you Sir

@aadityasharma5948 2 года назад

The man who knew infinity ♾️♾️♾️

@Aakashmahto17 Год назад

Next shri Ramanujan of Indian Aman sir 💓

@shivamthakkar6706 Год назад

Thank you Ramanujan sir for your great contribution in mathematics. I wish I could meet you.🇮🇳🙂

@KedarAhire411007 Год назад

This is the great way of giving tribute to Ramanujan ji...Thank you Aman sir...🙏👏

@gautamgupta6029 2 года назад

THIS VIDEO IS WORTH #1 TRENDING!! 👍👍👍 JUST AMAZING SIR !! SALUTE TO AMAN SIR .. AND COUNTRY'S PROUD SRI.RAMANUJAN SIR 🙏🙏

@silverfangg45 2 года назад

The proof is wrong bro

@Rahul.G.Paikaray27 2 года назад

Sahi bate de

@silverfangg45 2 года назад

@@Rahul.G.Paikaray27 First of all the prove is wrong A and B are divergent series . And its copied from numberphile video ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-w-I6XTVZXww.html which is itself wrong which was rectified by mathlogger video 👉 ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-YuIIjLr6vUA.html The actual proof is not so simple he is proofing like 1=2

@Rahul.G.Paikaray27 2 года назад

@@silverfangg45 thanks brother

@binodtharu8348 2 года назад

@@silverfangg45 i agree that this proof is wrong because its divergent series but this proof is not like proof of 1=2, in that proof we use the thing that (2-1)^2=(1-2)^2 type things......

@shyambaranwal727 10 месяцев назад

Its really amazing...A big salute to the great mathematician S.Ramanujan

@ferdousbhuiya 5 месяцев назад

I could not hold my tears. How it is possible. Real hero of Math. Salute you Boss.

@sopusuryawanshi6934 4 месяца назад

Wrong hai bhai paradox

@tango1980Mwj 2 года назад

sadly we live ina country where people like Salman, SRK, Dhoni, Kohli..... (infinite series)... get more importance then people like Ramanujan... I live 4 kms from Ramanujans house in chennai... Love u bhai from chennai..

@ankhi6604 Год назад

Why are you even mentioning them? They are expert in their fields. I know that Ramanujun doesn't get that much importance but you can compliment him without mocking others who are genius in their profession.

@akshitrawat82 Год назад

@@ankhi6604 yess! Every body is perfect in their own field.. I pay huge Respect towards Ramanujan sir 😄😃

@kamleshdevi-fg2br 2 года назад

Sir, Please make a video on NIKOLA TESLA SIR🙏🏻🙏🏻🙏🏻🙏🏻🙏🏻🇮🇳

@silverfangg45 2 года назад

@Abhay Pandey naam batana to Zara indian scientist Google search mat karna

@kamleshdevi-fg2br 2 года назад

@Abhay Pandey Bhai, INDIAN SCIENTISTS भी महान थे पर ,NIKOLA TESLA ki kahani सुन लेना sir से एक बार ,आप चोक जाओगे 🙏🏻

@harshjais369 2 года назад

@@kamleshdevi-fg2br @kamlesh devi Yes Tesla was a genius. He's father of our today's modern world. He always thinks for mankind. We humans should credit all the great persons for their work instead of arguing who is indian or ..., who is great than ..., etc.

@abhishekbhuyan3576 Год назад

@@silverfangg45 abe Bengali tu apni aaurate bechne me focus kar. india pe already kai saare mathematicians, philosophers or academics hai.

@bibeksubedi2909 9 месяцев назад

My reaction was Oh My God after he proved it😂😂❤ Hats off to Ramanajun and Aman sir🙏

@yashsingh.113 5 месяцев назад

I think this person is the definition of teacher for me because once when I was a child my grandfather told me about Ramanujan paradox and I was very confused as to how it is possible, and finally my doubts were cleared and I learned new thinking in mathematics Thank you so much sir

@HRajMNNIT 2 года назад

The explanation just blown my mind 🤯🤯🤯🤯

@ayyasuddin3394 2 года назад

The Man Who Knew Infinity (Srinivasa Ramanujan)🙏🏻🙏🏻🙏🏻

@rrawatsachin93 Год назад

Jab jab me The great mathematician Ramanujan ke baare me sunta sach me etana proud hota ki aankho me aashu aa jaate hai, proud to be an indian. Jai hind

@Crackdsssbtgt 2 года назад

I started to like each and every videos of yours... Your way of explanation is incredible... I also want to be a teacher like you are!

@surajv1986 Год назад

Thanks a lot Sir for taking the efforts to explain lucidly the works of our great Mathematician Shri Ramanujan!!!

@rohitkachare3498 Год назад

Mai ek Arts ka student hu. History padh raha tha. S. Ramanujan ji ke bare me padha to shock ho gaya. Etne mahan Ganitdnya the. Salute for his invention in maths..

@deshbhktA Год назад

Genius Ramanujan ji 🙏 Thanks Aman ji for presenting it nicely, and praising the hero of Maths from India. 🇮🇳✌️

@krushnachandrarath3652 Год назад

Thanks for the post. May I add that this paradox is used in string theory. Casimir's effect in physics on existence of attraction between two charged particles in vacuum is explained by him using this paradox.

@soumiksaha8484 Год назад

Thanks for fyi

@zebt7477 8 месяцев назад

We use a made up value to prove a made up theory doesn't mean your made up value is true

@alien3200 3 месяца назад

This prove is wrong. I can prove it to be -1/8. Bhai its a divergent series and divergent series ka sum infinite hota hai. Kisi finite value pe converge nai hota. Its Like using infinite GP wala formula when the common ratio is more than 1

@jitendramohan7500 2 года назад

B series can be grouped as (1-2)+(3-4)+++ and sum tends to - infinity so it is divergent series so sub or add of series B to other series as divergent with convergent leads to indeterminate form results in paradix

@tanmaynayak2250 2 года назад

Bhai kya keh raha samaj ma nahi aa raha

@Siddharth_Mauryaa 2 года назад

@@tanmaynayak2250 BSC kro tb smj me ayega

@Mr.Ak.2608 2 года назад

Its divergent series, so can't be converge to any real no. 😂😂 Maths hons karo tab samjh ayega

@soumyajitsarkar507 2 года назад

@@Mr.Ak.2608 the actual proof is by remmans zeta function

@Mr.Ak.2608 2 года назад

@@soumyajitsarkar507 by both reimann zeta and direchlet eta functions

@vishalyadav0099 5 месяцев назад

India is blessed with legends like Ramanujan Sir.. ..

@sbssarma3517 Год назад

Ramanujan is not a mere hero. He is a Mega Star of Mathematics who radiated super brilliantly such that his contemporaries were blindendened by his scintillating lustre of wisdom.

@O-Kyklop Год назад

Ramanujan didn't understand the concept of Infinity and made gross mistakes because of that, as the so called Paradox in this video. And the guy in this video, "explaining" the Paradox seems not to understand much better the question of Infinity.

@someone-jl4sj Год назад

@@O-KyklopRamanujan was correct it is the video that is wrong

@O-Kyklop Год назад

@@someone-jl4sj No fellow, he wasn't. There is no way Infinity being -1/12. First off, because these sums he uses to demonstrate it are not Infinite. There are some more reasons but this one is sufficient to refute it.

@someone-jl4sj Год назад

@@O-Kyklop Ramanujan never said that -1/12 represents this sum. What Ramanujan showed was that this was analytical continuation of Riemann Zeta function. And this is the value of Zeta(-1). For more information search Riemann Zeta function.

@O-Kyklop Год назад

@@someone-jl4sj It xdoesn't change anything. If the result is oo=-1/12, is wrong.

@AvnishKumar-bt1pd 2 года назад

Series A is discussed by Mohit Tyagi in maths for fun

@princeladdha65 2 года назад

A huge salute to ramanujan , such a great mathamatician who born in india 🙏🙏 Proud to be an indian🇮🇳❤

@AdityaKumar-ji8dk Год назад

Ramanujan proved his theorems when he was dying...those were the last 2-3 years of his life when he prepared all the proves of his theorems...he worked in very poor health conditions...blood coming out of his mouth with cough, but still writing...you can see such scenes in the movie 'the man who knew infinity'. He devoted his whole life to to bring out his theorems and formulae so that all the theorems will be preserved. He worked for giving the world something great, not for his own wants. He is a true legend...a mathematician which will be remembered forever.

@subhashchandraparida4320 Год назад

Really he was a Indian geñius. Really, he is Mother's gift to not only India but to the World.

@lohitadityanaik8144 2 года назад

India is blessed with legends like Ramanujan sir

@GursewakSinghOfficial 2 года назад

GAJAB SIRJI 🔥🔥🔥🔥 WE WANT MORE VIDEOS LIKE THIS ❤

@illuminatination648 8 месяцев назад

This person teaches maths with his heart I love that part bout him

@enjoystudyknowledge1234 10 месяцев назад

really humble salute to S.Ramanujan Sir

@nirajkhare3915 Год назад

Also you cannot rearrange terms in an infinite series without changing the sum (if it's defined) unless it converges absolutely. Please teach convergence first and then see the work of Ramanujan using extension of complex analytical function by

@biplabmahato119 Год назад

Yes, with out absolutely convergent we cannot rearrange the terms. This prove is wrong.

@Ramu-bw4ub 5 месяцев назад

Without Taylor series expansion?? I think Taylor series should be best applicable here.

@krishnkantshridhar664 2 года назад

Sir I am very curious and wants to study about more such equations by you please start a Ramanujan Series where you teach us these type equations .Its my humble request .🙏🙏🙏🙏

@yashkumarharit5930 Год назад

He was the man who knew infinity ,🙌🙌🙌🔥🔥🔥

@productionmillionviewsz5338 Год назад

Great ji and He always said that Mata is telling me maths and he is great

@satveersingh2664 2 года назад

Although I m not from Mathematics ,I can understand u' r teaching ,u r best teacher in Maths .

@1543_T 2 года назад

salute to the one who got behind the properties like closure! 💯🔥⚡💯

@ajaymishramathematics3015 Год назад

Loved his way of teaching 🙏❤✨

@satyanarayanpatra7357 Год назад

Great salute to our Hero Ramanujan 😎 BTW nice explanation Sir thanks for the video 😊

@harshbhushanpathak2392 2 года назад

You are really doing a good work and this needs to be continue sir. The moment you found the value of A I was shocked this is really the magic of maths . Salute to the legend S. Ramanujan 🙏🙏

@ankurgupta9106 2 года назад

This video is wrong

@AdityaRaj-yu2ir 2 года назад

@@ankurgupta9106 Yess

@yagami1130 Год назад

This video is 100 percent wrong, since distribution law isn't correct in infinite series

@harshbhushanpathak2392 Год назад

@Ankur Gupta @Aditya Raj @yagami this is a paradox which actually is used for calculation of electric forces between two uncharged plate in vacuum , and also in string theory in real time. So it is definitely correct .

@yagami1130 Год назад

@@harshbhushanpathak2392 yes its indeed true but the way its proved in this video is totally wrong, he must prove it using zeta function...that's what Ramanuja did.

@deltechdiaries5907 2 года назад

the greatest mathematician ever

@-SARTHAKSHARMA 5 месяцев назад

Ramanujan sir was uncontrolled nuclear rxn salute to such personality in just of 32 age 🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥

@nileshsahu4099 Год назад

Dil chu gya sir ji

@chaitanyatale4666 2 года назад

Thank u sir for this absolutely stunning and mind-blowing story🙏🏻❤️❤️

@Yuvrajsingh-3ub 2 года назад

Greatest mathematician... Ever on the earth. 🌎🌎

@dcp399tikod 3 месяца назад

Shree Ramanujan❤❤❤❤❤

@himeshmaan8766 7 месяцев назад

Sir said fatt gyi thi logo ki 😂😂😂😂. . Aankhen 😅

@nishantverma2966 2 года назад

It's pure imagination and can't be thought by ordinary mind Ramanujan Sir was inhuman

@techmaster6587 2 года назад

The Man Who Knew Infinity *JAI NAMAGIRI DEVI* 🙏🙏

@alpromax1523 7 месяцев назад

¡Gracias!

@methleshkoshle7643 Год назад

What a gift to the world Ramanujan sir. You are great teacher sir 👍.

@sussybaka6597 2 года назад

Thanks sir for an amazing session

@pseudopsycho5956 2 года назад

This thing should also be tought to student keeping all the competition and curriculam aside to genuinely develop love and intrest toward maths in student....

@piyushjoshigaming2818 Год назад

Hats of respect to sir Ramanujan

@SakibKhan-xc1nn Год назад

Unbelievable result Ramanujan sir is greatest person ever❤❤❤❤❤

@Sumit_memer. 2 года назад

RAMANUJAN JI MAHARAJ KI JAI PURE DUNIYA ME JAIJAIKAR HO AAP MAHAN HA (RAMANUJAN JI AAP MAHAN HO)

@ankur20010 2 года назад

This problem is covered in the first basic real analysis course. And there are a lot more such examples in the real analysis book by terry tao The reason for this paradox is that you can't do operations as mentioned in the video , on an infinite series. You need to prove the convergence first and then justify the regrouping etc.

@yashrajchouhan82 2 года назад

Bro, sir Ramanujan was much more beyond than our thinking, he would have thought about that before

@AdityaRaj-yu2ir 2 года назад

@@yashrajchouhan82 Bhai tune kitni maths padhi hai. Ramanujan was a genius but not a god he can be wrong.

@todten1476 2 года назад

@@AdityaRaj-yu2ir he could be wrong but then again all his equation were proof later years. And his given equation is used till today to study blackholes. Remember black hole was first predicted in 1916 and ramanunjan died around 1920. Now imagine if he lived more than 32 years. Without any good education background he reached G.H Hardy with his math

@yashrajchouhan82 2 года назад

@@AdityaRaj-yu2ir Bhai Ramanujan ke time par ya uske baad bhi kayi mathematicians the par kabhi yeh suna ki kisine unhe wrong proof kiya ho, humne toh yeh hi suna ki jo koi naa kar paya woh Ramanujan sir ne kiya toh I think he's the mathematician God and yadi yeh baat galat hoti toh mathematicians bohot pehle hi proof kar chuke hote kyuki duniya mein tere jaise bohot log hain jo Indians ki success se jalte hain aur hn paradox ka matlab hi yeh hota hai ki dekhne par galat lage par vastavikta mein sahi ho

@AdityaRaj-yu2ir 2 года назад

@@yashrajchouhan82 tumhari knowledge kam hai

@Indian_898 Год назад

Sir Ramanujan 🔥 ....salute sir apko ...🙌🙏.

@Engr.MuhammadLatifOfficial Год назад

Sir, this lecture is really amazing about paradox and Ramanujan g

@rajiv88.85 2 года назад

Respect to Ramanujan sir 🙏🙏

@eigenfeynman9890 2 года назад

These things work only if the series converge, else there exists a countability of infinity which states that every infinity is not equal.

@ayushsinha1298 2 года назад

Yep I'm a jee aspirant and was thinking the same that when he replaced and take common minus and say it A ,I myself thought that how "that" infinity in which +1 was included and how "that" infinity in which 1 was not included can be same????

@rohanmishra23 2 года назад

@@ayushsinha1298 because if we add 1 in infinity it is also an infinity

@lalitchoudhary3540 2 года назад

Exactly, what I want to say

@theseeker9591 2 года назад

I understand what u say but do u have a reason to say that algebra don't work if series is divergent.

@ashishj2358 2 года назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-YuIIjLr6vUA.html

@sahilthakur2769 Год назад

I just schocked at this and started making notes . Meanwhile I never studied calculus with this much interest ❤️❤️.

@tannernatebryce6259 10 месяцев назад

Wah ,wah kitna sundar sa pyara sa solution nikla yeh theoretical question par

@kartiknayak8380 2 года назад

Sir aise hi bhut maza aata bhut ache ❤️

@admaxgiftsskm8811 2 года назад

Wanted to know the reason for quite a while ☺️

@ankurgupta9106 2 года назад

This proof is wrong bro

@rfsplayer162 11 месяцев назад

-1/12= reciprocal - 12 divide by -1 = -12=-12/1=-12 multiply 1 = -12+0=-12=-12 divided by 0=0 Hence infinity =0 Amaan

@p.h.gaming9319 11 месяцев назад

Perfect

@aniruddha1384 11 месяцев назад

He teaches math in such a funny way. What a skillful teacher. Love you sir ❤❤😂😂

@NageshwarRTMehta 2 года назад

Sum of series of number greater than 1 is always ♾️infinite As it is solved in all steps if you think about relative elements taken from different series have so much gappings....... A And if you think answer this series is right then I have an idea that you can give me that amount of money and there is no loss of you 😄 But salute to RAMANUJAN sir 🇮🇳🇮🇳 May be people are unable to find wrong step involved in this solution.... 😇

@soujanyoghosh9174 2 года назад

♾️-♾️ is indeterminate form

@dafureveerbhadra2772 2 года назад

Bro, this result helps in solving string thoery. No other value of sum of natural numbers solve string theory

@dafureveerbhadra2772 2 года назад

Also this proof is not actual, the actual one is given by using gamma function

@shibanjanmukherjee3706 2 года назад

Yes this proof is wrong,actual proof requires gamma function and complex analysis

@yashrajchouhan82 2 года назад

What!!! You people are saying that Ramanujan has done wrong

@parteek_bhamania 2 года назад

Apne physics wallah kuchh kisi karn se hi chhoda hoga ya jo time alakh sir ka tha wo aap ko soot nahi kar raha hoga. Lekin sir ek baat bataun apse badhiya maths teacher maine aaj tak nahi dekha aur sayad na hi age kabhi dekhoon ga. Logo ka kya hai wo to ease hi hate felate hain but sir jab main bada hokar kuchh ban jaunga na to alakh sir se to kya hi pata lekin apse jaroor milonga. Thanks sir for giving me this type of mathematics knowledge jab main apse maths padhta hoon to sach batun maza hi aa jata hai. Once more thank so much 😊😊🙏🙏

@mr.legend7241 Год назад

Arey sir maja agaya 🤩🤩

@ambadattkandpal7553 9 месяцев назад

Sat sat Naman Respected Ramanujamji.

@curiosityandlearningforciv662 2 года назад

Hello Mr. Aman, Captain XYZ( Indian armed forces) this side, I donot have a formal background of maths but I gave a thought on this series and found out following assumption flow in your calculations : You assumed 1+2+3+4........= S Now by assuming the series sum to be a finite variable S, you have forced the certainty on infinity(because only after that you were able to solve B =-4S +S =-3S but actually what you are solving is - -4* infinity + infinity). And due to this we see such an absurd answer!!

@animasharma2650 Год назад

Shut up until u know infinity

@sarfaraz660661 Год назад

A blind person perceive all hole is same.

@bjhonusa Год назад

Term Infinity means some number you can not imagine. It does not means it's beyond calculation. Read the maths carefully.

@dhruvchaudhary4684 Год назад

@@animasharma2650😂 ok wait

@aadilansari5997 Год назад

Sir you have the mind to question and query. Please read up quora especially Alon Amit.. You are right, when dignify infinity with the title of a number, you are inadvertently playing fast and loose with the concept of a number. For example in a normal number system if a+b = a+ c then b=c. But if you add infinity to the normal number set then Inf + b = Inf+c doe not allow us to infer that b= c.

@ritasagar77 2 года назад

hamare desh ko AAP jese teacher ki jarurat hai jo hume en mahan vidyano se rubaru karaye pata nahi aaj kal ke sabhi log en mahan logo ki baat hi nahi karte

@jsk5549 2 года назад

@@AnmolSah27 Tere bap se jayada Knowledge hai sir ka

@Ankitkumar-fi4rc 2 года назад

@@AnmolSah27 Tera Pura family sale inka mukbla nahi kar sakta h , aur tu to abhi bachcha h 🤣🤣🤣

@Ankitkumar-fi4rc 2 года назад

@@jsk5549 ha bro uska baap ka baaap ka baap ka baap ......... Infinite time tak koi utna nahi janta jitna aman sir ,🤣🤣🤣

@ankurgupta9106 2 года назад

The proof presented in the video is completely wrong

@Ankitkumar-fi4rc 2 года назад

@@ankurgupta9106 are yaar dekho thik se

@headshotgaming7652 2 месяца назад

Jay shree ramanujan ji ❤❤❤❤

@zeeyauddin5895 3 месяца назад

Great aaman ji

@ritxve 2 года назад

Isme problem isliye aa rhi h kyuki ∞ terms h aur ∞ koi bhi ek specific number nhi h wo khud hi thik se defined nhi For example, let's say X = ∞ Also we know that ∞ + 1 is also ∞ » X + 1 = X » 1= X - X » 1 = 0 (LOL) As it's not true reason is that ∞-∞ is simply inderminate and not zero.