on the series $\sum {\sin(nz)\over n}$
99809
Show that$\displaystyle\sum_{n=1}^\infty\frac{\sin( nz)}{n}$ diverges if $\mathfrak{Im} \,(z)\neq0$
129078
Proving the series $\sum_{n=0}^{\infty}\sin(e\pi n!)$ converges
139221
Compute the series $\sum_{n=1}^{+\infty} \frac{1}{n^3\sin(n\pi\sqrt{2})}.$
109599
A finite sum involving the binomial coefficients and the harmonic numbers
29170
Find the sum of the series $\sum \frac{1}{n(n+1)(n+2)}$
73258
Power series summation
79415
The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$
151189
calculate the sum of an infinite series
35036
Series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^2}$
47572
Evaluate $ \sum_{n=1}^{\infty} \frac{\sin \ n}{ n } $ using the fourier series
146587
Why does the series $\sum_{n=1}^∞ \ln ({n \over n+1})$ diverges? And general tips about series and the logarithm
151477
computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$
83064
Is the Series Sin(k)/k Absolutely Convergent?
52241
Calculate sum of series $\sum \frac{n^2}{n!}$
59253
Summing the power series $\sum\limits_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{2n+1}\prod\limits_{k=1}^n\frac{2k-1}{2k} $
107433
Prove the sum to n terms of the series
80177
Sum from $n=1$ to $N$ of $\sin(nx)/2^n$