Infinite Series - Comparison Test For Convergence of Series | Calculus

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This video lecture of Infinite Series - Comparison Test For Convergence of Series | Calculus Examples by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is Sequence & Series ?
2. What is Comparison test ?
3. How to test convergence of infinite series by Comparison Test ?
5. Comparison Test and p-series test and its Example
#Convergence #InfiniteSeries #ComparisonTest #EngineeringMahemaics #BSCMaths #GATE #IITJAM
This Concept is very important in Engineering & Basic Science Students. This video is very useful for B.Sc./B.Tech students also preparing NET, GATE and IIT-JAM Aspirants.
Find Online Engineering Math 2019 Online Solutions Of Infinite Series - Comparison Test For Convergence of Series | Calculus by GP Sir (Gajendra Purohit)
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Time Stamp
An introduction - 0:00
Comparison test - 1:06
P-series test - 2:23
Q1. - 3:30
Q2. - 7:39
Q3. - 11:02
Q4. - 13:58
Detailed about old videos - 16:50

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[gajendrapurohit]

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[samarthsingh]

I will share this video with my college professor. I am sure he will learn to teach properly one day

[DineshSingh-hxkw]

Plz never stops uploading lecture, I m BCA student and We have not much resources in offline mode as well as online online mode, but your content helps us a lot hence thnx once again.

[amanbindal]

This is pure blessing from him towards many students. 👍👍 WELL DONE SIR

[subrotobanerjee]

Out of curiosity just thought to raise this query - the sequence where nth term= 1/n is convergent becoz of the basic definition of convergence as lim n->infinity (1/n) = 0 (finite and unique) as explained on this video but the harmonic series -- 1+1/2+1/3 + ••••••+1/n +...where general term is 1/n is divergent due to P series test logic. Any thought?

[universeisherestudytime]

the vdo was awesome... just a small mistake in one part 13:00 here the denominator should be root ( 1 + 1/n^4) + root(1 - 1/n^4)

[anishchauhan]

Ek mera college ka teacher jo iska 10% v nahi padhata, bas class me aakar book se notes chap deta h board par aur chala jata h bina kuch samjhae. Aur dusre ye sir 🙌🙌🙌 Hatsoff to you sir. Shayad bachho k sath teachers ko v aapse padhna padega.

[syedlateefuddin]

For series u=1/(2n-1), by taking another series v=1/n for comparison test, u<v.. big series(v) diverging may not imply small series (u) also diverges.. so that is wrong conclusion..

[yozenkhadka]

I think there is slightly a mistake in question 3
you took n^4 common while testing the convergence but then you divide it with N^2.
its doesnot change the value but have a look there.
thank you love from

[learnCybr]

Sir thanks a lot .These videos of yours are really helpful in this pandemic situation in which we do not have our offline classes and your way of explaining these topics that much easily are great .Thanks again sir.

[mianzahid]

sir i salute to you .you are great person .sir you have great knowlege and way of method of teachng is very good.sir i belong pakistan but like u so much .sir plz tel me when do we apply any test

[melvinsaji]

Thank you very much sir for making such understandable easy maths videos

Very helpful 🤗💪

God bless you 🙏❣️😘

[asadullahgalib]

Thank you very much sir for clearing our concept.
Our 1st semester exam needed this very much

[rajuvashist]

Sir thank u
Sir maine apne 17 friends se apka video ko dekh ne k liye video share ki or unhone apka channel subscribe bhi kiya tha




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[benzenelifestyle]

Sir, , in the first problem you have taken, , the condition coming is Un <Vn then, , how we can say that, , it is divergent

[m.aswini]

Tmrw my exam ...this helped me a lot...tq sir....

[Master.selection]

Bahut hi behtarin solving skill h sir apki

[somyagupta]

Thanks sir:)
Ig in q4 there is an error.since k comes out to be 1 therefore series should be divergent instrad of convergent.

[ankitadey]

Sir, in the 2nd sum of test of convergence by p series, how summation of v became 2? While we calculated un/vn as 1???

[zoyaazam]

Sir sach me aapke liye Dil se dua nikalti h ... Allah aapko khub kamyabi de ...U are providing an amazing study material and the greatest part is that it's free of cost.. thanks a lot sir ...U are a real life saver