Raabe's Test | Raabe's Test Examples | Raabe's Test for Convergence and Divergence | Series Nature
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- čas přidán 29. 04. 2021
- ENGINEERING MATHEMATICS-2 UNIT 3
BAS203
SEQUENCE AND SERIES
FOURIER SERIES
LECTURE CONTENT:
. SEQUENCE AND SERIES
ENGINEERING MATHEMATICS-2 (MODULE-3)
LECTURE CONTENT:
RATIO TEST REVISE
RAABE'S TEST STATEMENT (WHEN RATIO TEST FAIL)
WHEN TO USE RAABE'S TEST
HOW TO USE RAABE'S TEST
RATIO TEST WITH RAABE'S TEST
IMPORTANT EXAMPLES
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@FEARLESS INNOCENT MATH
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Engineering Mathematics 2
Engineering Mathematics-II
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4. Mathematics 2 (Module-3) Fourier Series
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5. Mathematics 2 (Module-4) Complex Analysis (Differentiation)
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6. Mathematics 2 (Module-5) Complex Analysis (Integration)
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7. Mathematics 1 (Module-1) Matrix
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8. Mathematics 1 (Module-2) Differential Calculus-1
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10. Mathematics 1 (Module-4) Integral Calculus
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By: Dr. Anuj Kumar
Assistant Professor( Mathematics)
Ph. D, Gold Medalist in M. Sc and B.Sc.
National Fellowship (JRF & SRF) Holder During Ph. D.
Sequence and series engineering mathematics, infinite series engineering mathematics, sequence and series engineering mathematics 1st year, sequence and series engineering mathematics AKTU, sequence and series engineering mathematics playlist, sequence engineering mathematics, infinite series bsc 1 year, infinite series bsc 2nd year, infinite series convergence and divergence, convergence and divergence of infinite series bsc 1st year, infinite series engineering mathematics 1st year, sequence and series playlist, sequence and series lecture.
Definitely I'll watch mathematics 4 videos from your channel in my 2nd year. ❤
I am confused in making the nth term but now I understand clearly thanks sir 🎉🎉
Bro I am also confused will u help me
@@naturevibes4934 tell me
hlo sir
because of you sir I got good marks (overall 8.5 sgpa)
thanks sir
your lectures are amazing.
Excellent work dear ❤❤❤
Sir , I attend many classes and in all classes has no doubt.
Very nice dear
Brilliant
Very good concept explanation sir....🙏
All doubts are clear...
Thanks you sir....
How does n^2 will be common step..
Sir in the first example , can we also do that with comparison test by taking the Vn be 1/n^3 and the series will be proved convergent ......
Yes
21 min 3rd question me sayad ye hona chaye convergent x>1 and divergent x
Sir rabees vs comparison kaun sa use karte hai fail hone par aur ratio test hamesha fali hoga??
x vaale question me fail hota hai 90%
30:30 Then by Raabes test,
un is convergent if x²≥1 or divergence x²
Limit x aaye ya x^2 ya kuch or sabke liye same hi definition hai
example 1 comparison test se bhi hojayega na?
Right
Dear
sir last example me 26:07 un ke denominator me (2n+1)(2n+2) inki jagha direct (n+2) likhe to?
Kyo dear
Jo hai vhi to likhoge
@20:12 sir root test me to hm x=1 Un ki value me rkhte the na
Yha pr Un/Un+1 me kyu rkha h?
Har test ki alag alag condition hai dear💕💕
@dr.anuj.fearlessinnocentmath ok sir thanks 😊
Sir mene ek question ratio test se solve kiya toh ans 1 aaya mtlb test fail. toh abb kya krenge ese hi likh denge test fail ya koi orr test apply krrna hoga?
Ohh now I got it. haven't seen the lecture before asking doubt🙂
Yes dear
thanks sir
Welcome dear❤❤
@@dr.anuj.fearlessinnocentmath sir unit 5 me cauchey residue tak sufficient h
Sir , Ratio test fail hone par hum comparison test laga rahe the last lecture me when x=1 lekin yaha hum Raabe's test laga rahe h aasa kyu? kya comparison test se nahi ho sakta?
Dear jis test ki condition satisfied hoti hai vhi lagta hai
Agar ratio se sabhi question ho jate to in sabki kya need hoti
Dhanyawad sir for clearing my doubts you are really great it is only because of u I am really fearless....🙂
@@pragya_x_skysimple h,kyuki comparison taab use hota h jaab neeche koi 'n' baach raha ho...lekin iss case me 'n' common lene se upar neech baas lamba hoga Q kyuki un ke peeche ki terms me 'n' nahi h....
Dir leibnitz test konsa lecture mein hai sir?
Leibniz nhi karya maine dear
29:28.. Sir, (un/un+1)-1 = 6n+8/(2n+2)^2 aaya hai aapka lekin sir mera ((14n+8)/(2n+2)^2) ye aa rha hai......sir pls 🙏 reply krke bata dijiye
Aapka wrong hai dear
Dobara find kro
3:49 pe Sn kaise likha sir
By using 12th formule
Sir please ye batiye ki kis question mai raabe test lagega ya ....kisme ratio test please batiye sir
Agar un me n common aa jaye to comparison
Na aaye to raabe test
Sir ek doubt hai please clear kar di jiya, jaise 1/1+4+9….. ko aapne nth term ko n(n+1)(2n+1)/6 likha agar yahe same numerator mein hota to nth term kya aata n^2?
Me samjha nhi aapka doubt
@@dr.anuj.fearlessinnocentmath sir jaise baaki questions mein nth term nikaal rahe tha wo normal aa rha tha, jaise agar
1^2+2^2+3^2+…. Iska nth term n^2 hoga, lekin jab ye 1/1^2+2^2+3^2+…. Ke form mein hua to n(n+1)(2n+1)/6 hoga?
@@realplay6963
Yes inme 12 vaale sum of series ke formula lagega
30:27 sir isme convergent ke liye to x^2>aur equal to 1 hona chaiye na to apne aise kyu likha hai
@@user-oh7st3pj3i Dear mere method me un+1 upper hai nr. Me
Aapne un ko nr. Me rkha hoga
Sir question practice kidhr se krun 😢
Pyas ya koi book ?
From my notes
16:30
Sir books me d'alembert test me
Un/Un+1 hai
No matter
Answer will be same by both
Sir aap kon si college m teach krte ho
ABESIT
Kaunsa test kab lagana he ye kaise PTA chalega
Sabhi videos me conditions batai hai
11:20 sir yha pr U(n+1) rkhenge to 2.4.6....(2n+2)/3.5.7....(2n+3) aayega na aapne upr 2n aur neeche 2n+1 likhe kyu rhne diya?
Jaise 3 se pehle 2 aata hai
Ase hi ek pehli term likhi hai
Kyonki jab divide karenge to ye kat jayega
Nhi likhoge to pta hi nhi lagega kha tak katna hai
@dr.anuj.fearlessinnocentmath ok sir thank you ♥️
@@dr.anuj.fearlessinnocentmath aur agr sir hum esa nhi rkeneg to kya hoga ?
@@PahadiChan05
Aapko kase pta lagega ki kha tak ki terms kategi
Sir ex 1 me Un ki equation kaise banae
Explain kiya hai dear
Watch again
Comment me explain nhi ker sakta
4:01 pe kya kra sir ? smjh nhi aaya
Nth term ki practice kro dear
Isse pehle vale lecture dekho
Verna question nhi ho payega
21:13 p series bhi laga skte h n sir
No
Good class
Thanks dear💕
Question 1 solution is wrong
Nth term equation is from is wrong
RIght Equation is formed is n(n+1)(n+2)/6 by ap This Equation is correct
OK Sir
Sir Please Reply
My solution is 100 % correct dear
If you think you are right then do as you wish.
Sir 11:26 prr jb U(n+1) nikala to sir ye (n+1) next term me kyu kraa.
Mtlb khale (2n ) main nhi krr skte the
Sir series vegera itne ache se nhi padhe hai isliye doubt ha
Sir last qn me Un+1/ Un = x^2.
Sir then agar hm comparision test lagte hai to divergence aarha hia .😢
Then sir how is it possible..
Comparison kase lag jayega isme
Sir aapne Ratio test me btaya tha jab Un+1/ Un = x or x2 aata hai to hmm further comparison test lagaa ke karte hai .
I know sir kei mai raabe' test padh rha hu.
Ratio test me bhi X 0r X^2 bn rha tha
Sir 3:47 pe denominator pe n th term kaise nikale ??
Ye to is series ke sum ka direct formula hai
@@dr.anuj.fearlessinnocentmath okay
11:12 pe sir apne 2n wapis kyo le liya 2n ki jagah sirf 2n+2 aayega same 2n+1 kyo liya denominator mein 2n+3 aayega n+1 rakhne pe
Divide karne per Vo kat jayega
Kha tak katega ye kase pta lagaoge bahi
@@dr.anuj.fearlessinnocentmath sir you earn my respect♥️
@@Billy-gd1rm
Thank you 💕💕💕💕
Sir.... Qusn 1 ki n term kaise find ki mujhe smjh nhi aayi😕isse phle wale sb luctures m to bht ache se aa gyi.
Repeat again and listen carefully
Same Krati rajput mujhe bhi samajh nahi aayi
@@dr.anuj.fearlessinnocentmath sir woh 12th formula bata dijiye, mujhe question 1) ki Nth term samajh nahi aayi
@@CsCanDraw
Video me btaya hai dear
Nth term of AP
Sir how to find out the summation of the series ?? Is there any video of yours
There are different methods for that dear
At present no video in my playlist
Sir steps toh pora likh liya karo kabhi🤯
Ok dear
Sir ae jo term kaate hae ae nhi samajh aaya
Dear 2 ka difference hai sequence me
Isliye last term me bhi 2 ka difference lena fir kat te hai
Sir example 3 me jab test fail hogya x aaya , toh hum ise comparison test se bhi toh further proceed kar skte the na , jaruri thodi ki raabi test hee kare
Kase karoge batao
@@dr.anuj.fearlessinnocentmath sir jab test fail hogya , toh Un lenge aur fir Vn lenge , uske baad Un/vn then limit
Ya fir sir ye complicated hojayega isliye, par shyd kar skte hai
@@user-rl2ic3lr7r
Vhi to lo to kase loge
@@dr.anuj.fearlessinnocentmath mtlb sir baat ye hai ki kar skte hai par bhot mtlb bhot hee jyada complex hojayega isliye , I got it thanku sir
@@user-rl2ic3lr7r
No dear
Aapko dono me difference nhi pta isiliye confuse ho
Aap phele ye sikho ke comparison test kab lagta hai , uski kya pehchan hai.
Question karne se topic nhi aayega, samjh ke chaloge to hi ker paaoge.
Sir D'Alembert fail hone ke baad Raabes lgaana hai ya fir Comparison test??? Plz reply
Depend on nth term of series
Sir please thoda bataiye nth term se kese pahacane please bataiye sir🙏🏻🙏🏻
@@Saksham_Jain_00
Agar un me n common aa jaye to comparison
Na aaye to raabe test
Good
Simple and very easy answer
Sir question 1 summation kaise find kiya ?
Any formula for that
Yes series ke according
Nth term nikali hai
A. P ka formula use hai
@@dr.anuj.fearlessinnocentmath sir which formula can you give here.
@@Ramneet04
Bataya to video me dear message me kase explain kru
@@dr.anuj.fearlessinnocentmath sir kis vedio me?
Sir 3:50 p kese series aya hai samgh nahi aya itta direct
nth term nikalni sikho dear
@@dr.anuj.fearlessinnocentmath uska agar dekhe to 1 upon n^2 rahana chaiye n
Tab sir ye aap ho likhe hai wo kese aya
@@crazyboy2291
Btaya hai maine to kase aaya
Jab aapko samjh hi nhi aaya, 12th ke basic formule hai jo aapko nhi aate
1+2+.....+n= n (n+1) /2
1^2+2^2+3^2+.........n^2= n (n+1) (2n+1) /6.
Basic sikho dear, BTech karni hai to
Sir ratio test toh hai hi nhi playlist mai !!
czcams.com/video/QCfH6dGJzd4/video.html
See this
I think CZcams error
Kuch samjh nhi aaye sir pahli bar apki video aor sr dard ho gya ratio ne bhul jau
@@sahilverma313
Repeat again dear
18:33