New posts in Sequences And Series

In a metric space a sequence with no converging subsequences is discrete (?)

Evaluation of double summation

Is the sequence $(B_n)_{n \in \Bbb{N}}$ unbounded, where $B_n := \sum_{k=1}^n\mathrm{sgn}(\sin(k))$?

An Interesting Question I Posed to Myself About $\pi$ as an Average.

Show that $\sum\limits_{j,k=2}^\infty\frac{1}{j^k}$ converges and calculate the limit of the series

A summation identity

Definition of subsequence used in defining accumulation points

Existence of $A$ such that $ \lim_{x\to\infty}\operatorname{poly}(x) e^{-x} \sum_{n\in A} \frac{x^n}{n!}=1 $

General method for finding summation of series with $n^{th}$ term difference in AP

How do I evaluate $\sum_{k = 1}^{\infty}\big[\frac{(-1)^{k - 1}}{k}\sum_{n = 0}^{\infty}\big\{\frac{1}{k(2^n) + 1}\big\}\big]$?