Can you help me solve this series: $\sum_{k=0}^\infty p^kk$?
6416
How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
54730
For which $p$ does the series $\sum_{n=2}^{\infty} \frac{1}{(\log 1)^p+(\log 2)^p+\cdots +(\log n)^p}$ converge?
130548
What is the sum of the power series: $\sum_{k=2}^\infty\frac{x^k}{k(k-1)}$?
132613
Testing the series $\sum\limits_{n=1}^{\infty} \frac{1}{n^{k + \cos{n}}}$
140462
Find a closed form for the power series $f_p(x)=\sum\limits_{n=0}^\infty\frac{n^p}{n!}x^n$
32637
What is the sum of this series: $\displaystyle\sum_{n=0}^{\infty} \dfrac{a^n}{(3n)!}$
19899
infinite series of the form $\sum\limits_{k=1}^{\infty}\frac{1}{a^{k}+1}$
27224
Infinite series $\sum_{k=1}^\infty \frac{k}{2^k}$ and $\sum_{k=1}^\infty \frac{k^2}{2^k}$
42736
Is there a closed form for $\sum_{k=0}^n \frac{x^k}{k!}$?
124229
Simplify $\sum_{k=0}^{\infty} x^ky^{\frac{k(k+1)}{2}}$
79415
The series $\sum_{n=2}^{\infty }\frac{1}{\log (n!)}$
52278
How to solve $\sum_{k=2}^\infty {\frac{1}{k^2-1}}$
152802
How find series $\sum_{n=1}^{\infty}\frac{(-1)^{[\sqrt[m]{n}]}}{n^a}$?
59253
Summing the power series $\sum\limits_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{2n+1}\prod\limits_{k=1}^n\frac{2k-1}{2k} $
69989
Do the following series converge if $a_n>0$ and $ \sum_{n=1}^{\infty}a_n$ diverges?
80201
Geometric series sum $\sum_2^\infty e^{3-2n}$
44754
Infinite Series $\sum\limits_{n=1}^{\infty}\frac{1}{4^n\cos^2\frac{x}{2^n}}$