The value of $\sum_{k=0}^\infty k^n x^k$
36674
Summation of series $\sum_{n=1}^\infty \frac{n^a}{b^n}$?
71798
$\lim_{n\to \infty}\frac{1}{n} \sum_{k=1}^n x_k =x\;$ given $\;\lim_{n\to \infty} x_n= x\;?$
8705
Evaluation of $\sum_{x=0}^\infty e^{-x^2}$
61850
Compute $\sum_{k=0}^{\infty}\frac{1}{2^{k!}}$
634
Closed form formula for $\sum\limits_{k=1}^n k^k$
144078
What does $\sum_{k=0}^\infty \frac{k}{2^k}$ converge to?
3356
Why $\sum_{k=0}^m x^k $ is equal to $\dfrac{x^{m+1}-1}{x-1} $?
145154
Calculating limit of $\sum_{k = 0}^\infty \frac{n^k}{k!} \vert k - n \vert$
99453
Sum of $k$-th powers
6416
How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
101052
Find the infinite sum $\sum_{k=1}^{\infty}\sqrt k - 2\sqrt {k + 1} + \sqrt {k + 2} $
114414
Sum of $\sum_{k=1}^n\sin{k\theta}$
152698
Evaluation of $\sum_{n=0}^{\infty}\frac{1}{(n^4+n^2+1)n!}$
146651
Evaluting sum $\sum \limits_{n=0}^\infty\frac{n^k}{n!}$
61547
Derive an explicit formula for a power series $\sum_{n=1}^\infty n^2x^n$
133955
Compute: $\sum_{k=1}^{\infty}\sum_{n=1}^{\infty} \frac{1}{k^2n+2nk+n^2k}$
28254
Why $\sum_{k=1}^{\infty} \frac{k}{2^k} = 2$?