Analytic expression for $\sum_{k=0}^\infty \frac{\log(k+1)}{k!}$
111524
Information on the sum $\sum_{n=1}^\infty \frac{\log n}{n!}$
42736
Is there a closed form for $\sum_{k=0}^n \frac{x^k}{k!}$?
24033
Infinite Series $\sum\limits_{k=1}^{\infty}\frac{k^n}{k!}$
25395
Sum $\sum_{n=1}^\infty \frac{n^2}{(n+2)!}$
76296
Compute $\frac{1}{e}\sum\limits_{n=0}^{\infty}\frac{n^{k}}{n!}$ for $k=0, 1, 2 ... $
84147
Evaluating $\sum_{n=1}^\infty \frac{2^{2n-1}}{5^{n+1}}$
89771
$\frac{1}{s-1}+\sum_{n=1}^{\infty}\left[\frac{1}{n^s}+\frac{1}{s-1}\left(\frac{1}{(n+1)^{s-1}} - \frac{1}{n^{s-1}}\right)\right]$
17713
What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?
99420
Compute $\sum_{n=1}^\infty \frac{1}{(n+1)\sqrt[]{n}+n\sqrt[]{n+1}}$
34496
Proof that $e=\sum\limits_{k=0}^{+\infty}\frac{1}{k!}$
5054
Calculate $\sum\limits_{k=0}^{\infty}\frac{1}{{2k \choose k}}$
110568
Does $\sum_{k=1}^{\infty}\ln(\frac{k}{k+1})$ converge/diverges??
9193
Simple series convergence/divergence: $\sum_{k=1}^{\infty}\frac{2^{k}k!}{k^{k}}$
91316
Sum of the series $\sum _{ r=1 }^{ \infty }{ \frac { { r }^{ 3 } }{ r! } } $
43509
Evaluating $\sum_{n=1}^{\infty}\frac{(n-1)!}{\prod_{r=1}^{n}(x+r)}$ for $x\in\mathbb{R}^{+}$
145019
Prove that $\sum_{n=0}^\infty \frac{(-1)^n}{3n+1} = \frac{\pi}{3\sqrt{3}}+\frac{\log 2}{3}$
136444
Evaluating $\sum_{n=0}^\infty\frac{(-1)^n}{3n+1}$