Closed form of $\sum^\infty_{n=1} \frac{\sin n}n$
49262
Evaluation of Sum of $ \sum_{n=1}^{\infty}\frac{\sin (n)}{n}$.
43903
Find the sum for $\sum_{n=1}^{\infty}(-1)^{(n+1)}\frac{2n+1}{3^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} $
129823
Show that $\sum_{n=1}^{\infty}(n^{3}\sin\left(\frac{1}{n}\right)-n^{2}+\frac{1}{6})$ converges
78712
Prove that $\frac{1}{\sin^2 z } = \sum\limits_{n= -\infty} ^ {+\infty} \frac{1}{(z-\pi n)^2} $
19899
infinite series of the form $\sum\limits_{k=1}^{\infty}\frac{1}{a^{k}+1}$
39659
Is there a closed formula for this summation?
47572
Evaluate $ \sum_{n=1}^{\infty} \frac{\sin \ n}{ n } $ using the fourier series
25503
Convergence of $\sum_{n=1}^\infty \frac{\sin^2(n)}{n}$
87479
Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$
16143
How can I prove that $\sum_{n=1}^\infty \frac{1}{n(n+1)} = 1$?
129734
Computing $\sum_{k=1}^{\infty}\frac{1}{k}\int_{\pi k}^{\infty}\frac{\sin(x)}{x}dx$
39909
Getting a closed form from $\sum_{i=1}^{n-1} \sum_{j=i+1}^{n} \sum_{k=1}^{j} 1$
5650
Show $\ln2 = \sum_\limits{n=1}^\infty\frac1{n2^n}$
16967
Sum : $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3}$
26541
Is $\sum_{n=1}^{\infty}{\frac{\sin(nx)}n}$ continuous?
135927
Calculating $\sum_{n=1}^\infty\frac{1}{(n-1)!(n+1)}$