What is the evaluation of $\sum_{k=1}^{\infty}\frac{k^n}{k!}$?
2722
Exploring $ \sum_{n=0}^\infty \frac{n^p}{n!} = B_pe$, particularly $p = 2$.
17713
What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?
6416
How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
146651
Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$
71798
$\lim_{n\to \infty}\frac{1}{n} \sum_{k=1}^n x_k =x\;$ given $\;\lim_{n\to \infty} x_n= x\;?$
60104
Evaluate $\sum_{k=1}^\infty\frac{x^k}{k(k+1)}$
42736
Is there a closed form for $\sum_{k=0}^n \frac{x^k}{k!}$?
55061
Evaluating the sum after reordering an infinite series $1-\frac {1} {2}+\frac {1} {3}-\frac {1} {4}+\ldots $
37148
How to evaluate $ \lim \limits_{n\to \infty} \sum \limits_ {k=1}^n \frac{k^n}{n^n}$?
6838
Evaluate the series $S_n = \sum_{k=1}^n\log\frac {k (k + 2)}{(k + 1)^2}$
101138
Convergent or divergent: $\sum_{k=1}^{\infty}\frac{2^{k}\cdot k!}{k^{k}}$
61850
Compute $\sum_{k=0}^{\infty}\frac{1}{2^{k!}}$
16143
How can I prove that $\sum_{n=1}^\infty \frac{1}{n(n+1)} = 1$?
74117
Find the sum of series $\sum_{n=0}^{\infty}\frac{z^{kn}}{(kn)!}$
129801
Finding a closed form for $\sum^{n}_{k=1} \frac{k}{(k+1)!} $
54661
How to find the sum $\sum\limits_{n=1}^{\infty}\frac{1}{n!(n^4+n^2+1)}$
79415
The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$