JEE Delight | Sequences (Real Analysis) | Lecture 11 | Cauchy's first theorem on limits | #3 SE

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Sequences (Real Analysis) | Lecture 11 | Cauchy's first theorem on limits |

SE1 lim 1/√n^2+1+ 1/√n^2+2+...+1/√n^2+n
SE2 lim 1/n(1+2^1/2+...+n^1/n)
SE3 lim ((2/1)(3/2)^2(4/3)^3...(n+1/n)^n)^1/n Support the channel:
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Amazing..
These questions become one liner by such methods in JEE❤️❤️

BruceWayne-gzeg
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Wonderful lecture. Sir can you make one jee delight on stolz-cesaro theorem ?

scoringwolf
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Sir can i watch whole series, playlist for jee??

kiit
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sir, if we apply cauchys first theorem for lim(n to ∞)sum(1/n+k) from k=1 to n, we get 0.but the answer is ln(2).where am I mistaken sir?

_BAVANESH
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Great lecture sir please continue uploading more jee advanced related problems and concept videos like ths

fomoCoder
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Last problem can also be solved by 2nd theorem
Lin ntendtoinfinity [((n +2)/(n+1))^(n+1)] =e directly

ishansingh