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Questions Tagged with "sequences and series" (Page 10)

Explore solved questions tagged with "sequences and series" or help others by answering their unsolved questions related to "sequences and series".

Find the limit of $f(n)$ where $f(n)=(2-f(n+1))^2$

2 answer

Mathematics Asked 3 years ago by Amit Zach

Recursive sequence depending on the parameter

2 answer

Mathematics Asked 3 years ago by Invisible

Growth of Limits of $n$-th Terms in Series

1 answer

Mathematics Asked 3 years ago

Find a formula for the general term $a_n$ of the sequence, assuming that the pattern of the first few terms continues.

1 answer

Mathematics Asked 3 years ago by Andrew Lewis

If $f_n(x)$ uniformly converge to a positive function, then $dfrac{1}{f_n(x)}rightrightarrowsdfrac{1}{f(x)}$?

2 answer

Mathematics Asked 3 years ago by user823011

Does there exist a closed form for $int_0^{pi/2}frac{x^2 text{Li}_2(sin^2x)}{sin x}dx$?

0 answer

Mathematics Asked 4 years ago by Ali Shadhar

Why does every oscillating sequence diverge?

3 answer

Mathematics Asked 4 years ago by user13985

Show that for any $n$, $sum_{k=0}^infty frac{1}{3^k}binom{n+k log(3)/log(2)}{k}=c 2^n$ for some constant $c$

2 answer

Mathematics Asked 4 years ago

Must a series converge after a finite number of 'césaro mean' applications if it does after infinitely many.

0 answer

Mathematics Asked 4 years ago by Oddly asymmetric

Prove that $sum_{n=1}^{infty }left ( frac {sin((2n-1)x)}{(2n-1)x)}right )^k frac{(-1)^{n-1}}{2n-1}=frac π 4$ for $0lt xlt frac pi {2k} $

1 answer

Mathematics Asked 4 years ago by Paras

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