Convergence of series with $\sin(\sqrt{n})/n$
32436
Convergence of $\sum _{k=1}^\infty \sin \left(\sqrt{k}\right)/k$
95353
Does $\sum_{n=1}^\infty \frac{\cos{(\sqrt{n})}}{n}$ converge?
51415
Power series that diverges in specified number of points on the circle of convergence
39568
Test the convergence of the series
32964
Convergence of $\sum \frac{\sqrt{a_n}}{n^p}$
129823
Show that $\sum_{n=1}^{\infty}(n^{3}\sin\left(\frac{1}{n}\right)-n^{2}+\frac{1}{6})$ converges
27323
Convergence of the complex series $\sum_{n=0}^{\infty} \frac{(-1)^{n}}{z+n}$
111788
Does the series $\sum\limits_{n=1}^\infty \frac{1}{n\sqrt[n]{n}}$ converge?
129078
Proving the series $\sum_{n=0}^{\infty}\sin(e\pi n!)$ converges
149850
Methods for determining the convergence of $\sum\frac{\cos n}{n}$ or $\sum\frac{\sin n}{n}$
139113
Does the series $\sum \sin^{(n)}(1)$ converge, where $\sin^{(n)}$ denotes the $n$-fold composition of $\sin$?
78101
Does $\sum\frac{\sin n}{n}$ converge?
45101
Convergence of Power Series with $z^{2^k}$
125340
Prove the convergence of a series.
6345
Is the $\sum\sin(n)/n$ convergent or divergent?
35929
Convergence of series $\sum_{n=1}^{\infty}{\frac{1}{\sqrt{1}+\sqrt{2}+...+\sqrt{n}}}$
40079
Convergence of the series $\sum_n \frac{n^{\log(n)}}{\log(n)^n}$