Sum of alternate series $\sum_{n=0}^{\infty}\frac{(-1)^n}{(2n+1)} $
100936
What is the sum of this series: $\frac{2}{\pi}\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{2k-1}$
135927
Calculating $\sum_{n=1}^\infty\frac{1}{(n-1)!(n+1)}$
113713
Closed formula for the sum of the following series
12812
Sum of the alternating harmonic series $\sum_{k=1}^{\infty}\frac{(-1)^{k+1}}{k} = \frac{1}{1} - \frac{1}{2} + \cdots $
152698
Evaluation of $\sum_{n=0}^{\infty}\frac{1}{(n^4+n^2+1)n!}$
7198
How can I show whether the series $\sum\limits_{n=1}^\infty \frac{(-1)^n}{n(2+(-1)^n)} $ converges or diverges?
91784
Calculating $\sum_{n=1}^\infty {\frac{1}{2^nn(3n-1)}}$
94871
Sum of an unorthodox infinite series
66380
Alternating harmonic sum $\sum_{k\geq 1}\frac{(-1)^k}{k^3}H_k$
151477
computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$
125933
On the series $\sum \limits_{n=2}^{\infty} \frac{(-1)^n}{n \log n}$
74120
Find the value of $\sum_{n=1}^{\infty} \frac{2}{n}-\frac{4}{2n+1}$
2584
Convergence of an alternating series : $ \sum_{n\geq 1} \frac{(-1)^n|\sin n|}{n}$
93837
How to compute infinite series $\sum_{n=0}^{\infty} ne^{-n}$
55339
Find the sum $\sum_{n=1}^{\infty}\frac{ 1}{n^{2}(2n-1)}$
104646
Question on simplification of $\sum_{n=1}^{\infty}\frac{2}{(2n+1)(2n+3)}$?
35036
Series $\sum_{n=1}^{\infty}\frac{\cos(nx)}{n^2}$