$\sum_{n=0}^{\infty}\frac{(\frac{2}{7e})^n(-1)^n}{{((\frac{2}{7e}) n+1)}^{n+1}}=?$
32657
What is the value of this Integration?
116723
Evaluating the sum $\sum_{n=1}^{\infty}\dfrac{(-1)^{n}}{n^{2}}$
120633
How to find sum of this series $\sum_{0}^{\infty} \frac{(n!)^{2}x^{n}}{(2n)!}$
52987
$\sum_{n=-\infty}^{\infty}\frac{1}{(n+\alpha)^2}=\frac{\pi^2}{(\sin \pi \alpha)^2}$?
100936
What is the sum of this series: $\frac{2}{\pi}\sum_{k=1}^{\infty}\frac{(-1)^{k-1}}{2k-1}$
125148
Summation of series $\sum_{k=0}^\infty 2^k/\binom{2k+1}{k}$
127267
Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(2n+1)}=2-2\ln(2)$
22636
Find the sum of the series $\sum \limits_{n=1}^{\infty} \frac{2^{-n}(n+3)}{(n+1)(n+2)}$
52278
How to solve $\sum_{k=2}^\infty {\frac{1}{k^2-1}}$
9124
Find the exact value of the infinite sum $\sum_{n=1}^\infty \big\{\mathrm{e}-\big(1+\frac1n\big)^{n}\big\}$
114031
Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$
117056
How to show $\sum_{n=1}^{\infty}\frac{H_{n+1}}{n(n+1)}=2$?
150902
Series involving log $\sum_{n=1}^{\infty} \left( n\log \left(\frac{2n+1}{2n-1}\right)-1\right) = \frac{1-\log 2}{2}$
53658
Find the sum series $\sum_{n=1}^{+\infty} \frac{(-1)^{n-1}(2n-1)}{2^{n-1}}$
104078
Calculate the sum of the infinite series $\sum_{n=0}^{\infty} \frac{n}{4^n}$
134152
Prove $\sum_{n=1}^\infty(e-\sum_{k=0}^n\frac1{k!})=1$
127806
How to find the sum of the series $\sum_{k=2}^\infty \frac{1}{k^2-1}$?