Show $\sum_{k=1}^\infty \frac{k^2}{k!} = 2\mathrm{e}$
17713
What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?
150148
Sum of $\sum^\infty_{n=2} \frac{1}{\ln{(n!)}}$
152698
Evaluation of $\sum_{n=0}^{\infty}\frac{1}{(n^4+n^2+1)n!}$
56231
Infinite series for $e$...
66902
Prove that $\int_{-\infty}^{\infty} \frac{e^{2x}-e^x}{x (1+e^{2x})(1+e^{x})}\mathrm{d}x=\log 2$
114673
Proving the convergence of $\sum_{n=2}^{\infty} \frac{1}{n (\ln n)^2}$
32423
Convergence of $\sum _{k=1}^\infty (1-\frac{1}{k})^{k^2}$
132182
$\sum_{n=1}^\infty \sum_{m=1}^\infty\frac{1}{(m+n)^2}$
2722
Exploring $ \sum_{n=0}^\infty \frac{n^p}{n!} = B_pe$, particularly $p = 2$.
64336
Show $\sum_{k=1}^n \frac{1}{k^2} \le 2$ and $\ln(n!) \ge 1 -n+n\ln(n)$ for all positive integers n
28254
Why $\sum_{k=1}^{\infty} \frac{k}{2^k} = 2$?
127806
How to find the sum of the series $\sum_{k=2}^\infty \frac{1}{k^2-1}$?
114031
Show that $\sum_{n=0}^\infty r^n e^{i n \theta} = \frac{1- r\cos(\theta)+i r \sin(\theta)}{1+r^2-2r\cos(\theta)}$
68097
Prove $\int\limits_{0}^{\infty} \mathrm{exp}(-ax^{2}-\frac{b}{x^{2}}) \mathrm{d} x = \frac{1}{2}\sqrt{\frac{\pi}{a}}\mathrm{e}^{-2\sqrt{ab}}$
137640
Proof that $\sum_{1}^{\infty} \frac{1}{n^2} <2$
61850
Compute $\sum_{k=0}^{\infty}\frac{1}{2^{k!}}$
63380
Show that the series $\sum_{n=2}^{\infty} \frac{1}{n\, (\log n)^s}$ converges for $s >1$ and diverges for $s=1$