Infinite Series - Convergence Of Infinite Series - Short Revision Of Engineering Mathematics GP Sir

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This video lecture of Sequence & Series, Convergence Of Infinite Sequence & Series Calculus Examples | Short Revision Of Engineering Mathematics by GP Sir will help Engineering and Basic Science students to understand following topic of Mathematics:
1. What is Sequence & Series ?
2. What is concept of Bounded above and Bounded Below and Bounded Sequence ?
3. What is concepts of Convergence of Sequence & Series ?
4. What is Convergent, Divergent & Oscillating Sequence ?
5. Convergence of Geometric Series and its Example
#Convergence #InfiniteSeries #Sequence&Series #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 2018 Online Solutions Of Sequence & Series, Convergence Of Infinite Sequence & Series Calculus by GP Sir (Gajendra Purohit)
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Time Stamp
An introduction - 0:00
Sequence - 2:13
Series - 3:55
Bounded Sequence - 5:55
Range of Sequence - 9:31
Example 1. - 10:08
Convergent, divergent and Oscillatory Sequence - 11:35
Example 2. - 12:35
Example 3. - 13:28
Example 4. - 15:11
Geometric series is Convergent, divergent and Oscillatory - 17:07
Example 5. - 17:43
Example 6. - 18:10
Example 7. - 18:59
Example 8. - 19:30
Conclusion of video - 20:04
Detailed about old videos - 20:30

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Dr.Gajendra Purohit
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Convergent by comparison test in 5sec
We have un =√n/n²-1
=√n/n²(1-1/n²)
=1/n^3/2 (1-1/n²)
let vn = 1/n^3/2
Then un/vn=1/1-1/n²
Lim n tends to infinity un/vn = 1/1-0
Therefore auxiliary series vn =1/n^3/2 where p=3/2 (>1)
So vn is convergent
Hence un is convergent.
Thank you sir

mathematicsxyz
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Aap hmesa ese samjaate h jaise bacho ko sab aata h pahle

vikkikaliramana
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Sir aap kab launch karogey iit JAM book

siddhichaudhary
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Convergent, 30 second
Tq so much sir 🙏🙏

devshivgamer
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Thank you so much sir this series is very helpful for us 🙏

kanchanbadoniya
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Convergence series 🎉❤❤❤❤, , thank you sir for uploading such amazing videos

afrinhashmi
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Very helpful video for us thankyou so much sir 🥰

shivanisaini
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Very helpful video ... thank you so much sir ...❤🥰🙏🙏🙏

mayapatidar
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Sir tomorrow is my paper and today I am here to revision❤

RohitSinghRajput
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wah sir wah aapka confidence kahan se kahan chala gya woow

ayushgahlot
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Really nice revision sir . Plz upload more short concept of complex and linear algebra

PawanKumar-csbg
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Sir smjh nh aata ki kon sa test apply kre ....ki jaldi ho sir iske lie kucgh trick btaie

lalmanidevi
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sir please add Uniform convergence and pointwise convergence topic in this video series

monstergirl
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Sir aap JAM ki book kab tak laugh karogey

siddhichaudhary
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Awesome sir jam k liye kafi helpful h...😍😍😍

AbhishekSingh-odsy
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sir l=1 hone par kya hoga, yeh pls upload kare

samratbhanja
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Short trick to find no of One One homomorphism

chandankumargupta
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Answer of the home work:- it will be a convergent series..

swarajmukherjee