New posts in Divergent Series

Does $(1+\frac12-\frac13) + (\frac14+\frac15-\frac16)+(\frac17+\frac18-\frac19)+\cdots$ converge?

How to prove the series $\sum\limits_{n=1}^\infty\frac1n\sin(\ln n)$ diverges

Behavior of a sum on the boundary of convergence/divergence

On the convergence of $\sum_{n = 1}^\infty\frac{\sin\left(n^a\right)}{n^b}$

Divergence of series sin(1/n)

Minimize $a$, but ensure convergence

Evaluation of $\int_{0}^{+\infty} x^{-1/2}e^{-x-\frac{a}{x}}dx, a>0$

Is $1+2+3+4+\cdots=-\frac{1}{12}$ the unique ''value'' of this series?

Expressing Zeta function using Gamma series

Does $\sum_{n=2}^{\infty}\frac{n^4}{\log(1)+\log(2)+\log(3)+\cdots+\log(n)}$ converge?