Alternating Series | Leibniz Test | Convergence Of Infinite Series

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This video lecture of Infinite Series - Infinite Series - Leibniz Test For Convergence of Alternating 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 Alternating Series ?
3. How to test convergence of Alternating Series by Leibniz Test ?
4. Leibniz Test and its Example
#Convergence #AlernaingSeries #LeibnizTest #EngineeringMahemaics #BSCMaths #GATE #IITJAM # CSIRNET
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. Online Solutions Of Infinite Series - Leibniz Test For Convergence of Alternating Series | Calculus by GP Sir (Gajendra Purohit)
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Time Stamp
An introduction - 0:00
Definition and Example of Alternating Series - 2:08
Leibnitz test - 3:47
Q1. - 5:01
Q2. - 6:17
Q3. - 7:54
Conclusion of video - 12:07
Detailed about old videos - 12:30

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Dr.Gajendra Purohit

[gajendrapurohit]

Thanks for your comment, your appreciation always motivate us to do such kind work.
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[chandanmohanty]

Sir aap ka mathematics padhane ka tarika next level ka heee sir...

[hrishankverma]

Sir you teach very direct try to solve questions fully ! ❤

[urmilabanerjee]

Thank you sir for such fabulous lectures; you are the sole reason why i do well in my semester exams in college and also learn the concepts thouroughly

[icpraahitya]

sir your explation is next level my brain is showing errors

[kriianshh]

Aaree "Punit superstar" sir👽🙏

[k-anand]

Sir aapke question utne acche se nhi karate h... Pr lockdown hone k karan mujhe aapka video dekhna pad rha h... Q ki mera coaching band h.. Or wo bahut acche se btate But fir v kuch na kuch to sikh he rha hu aapke video se.. So thanku

[AshishKumar-fkxy]

Aapake samjhane ka najariya kafi accha hai sir ji

[ashutoshnegi]

Kindly upload more videos on real analysis 🙏🙏
Exams are coming in December 🙏🙏🙏

[dharmikmistry]

One doubt sir. While putting x=+1 in equation for limit n=0 to infinity. By putting n=0, first term will be infinite instead of 1 i think. Thank you

[shilpakaushik]

You're amazing Sir.... You make such a difficult topic so easy thank you sir

[kumar-cshy]

Sir, n - belongs to Natural number hh, then how can we take n=0.????

[saurabmalla]

In last example,
x=1 and x=-1.
The first term of expanded series when n=0 is undefined as n is on denominator .
So the series starts with
-1 + (1/2) - (1/3) +...

[AbhiKumar-fpjy]

Alot of thanks sir
Because my exam is coming but I have no idea in real analysis
But your videos are very helpful in my study

[abhinandanjain]

Thank you so much sir wonderful lectures.

[sakshisoni]

Sir please aap alag se playlist banaiye n 2nd year ki

[beastmatlbih]

Sir ☺️ aapsee samaj k smj aaya h 🤗 college m to lecture attend hi nhi krta Etna bor lgta h 🤣🤣

[tinadutta]

For this one I am following A.R Vasishtha and Dr. R.K Gupta's Algebra book

[_yogeshchandrapandey]

Sir, don't you think so that in the video of Leibnitz test, for question 3, if x=1 then the first term of series will be -1 but you start the series with +1.
And also for x=-(1), Un = -1^(1+n) / n, and in that manner the series will become as 1 + (-1/2) + 1/3 + (-1/4) And hence series will be convergent for x= -1.

[_sourajitmukherjee]

Sir un in the first question will be (-1)^n-1/(n-1)!