Find a closed form expression for $\sum\limits_{i=0}^{\infty} i^2\cdot x^i$
65653
Find a closed form of the series $\sum_{n=0}^{\infty} n^2x^n$
5054
Calculate $\sum\limits_{k=0}^{\infty}\frac{1}{{2k \choose k}}$
47753
Closed form of series with factorial-squared denominator?
69439
Infinite Sum of algebraic expression
113713
Closed formula for the sum of the following series
101017
What is the sum of $\sum\limits_{i=1}^{n}ip^i$?
73865
Find $\lim_{n\to\infty}n\left(\sum_{i=1}^{n}\dfrac{1}{(n+i)^2}\right)$
35855
Closed form for an infinite product
69084
What is the closed form for $\sum_{n=1}^\infty \frac1n - \frac1{n+1/p}$?
125887
Evaluate an infinite product in a closed form $\prod\limits_{n=1}^{\infty} \frac{1}{1+\pi^{1/{2^n}}}$
70390
is there a closed form expression for the following matrix infinite series
17332
How to compute $\sum\limits_{n=1}^{\infty}\frac{1}{x^n-1}$?
87479
Closed form for $\sum_{k=0}^{n-p}\binom{n}{k}\binom{n}{p+k}$
13864
$\prod_{k=0}^{\infty} \cos(x \cdot 2^{-k}).$
7
Find value of the limit: $\lim_{n\to \infty}\sqrt[n]{1^2+2^2+\cdots+n^2}$
21004
Formula similar to $EX=\sum\limits_{i=1}^{\infty}P\left(X\geq i\right)$ to compute $E(X^n)$?
5537
Closed form for $ \int_0^\infty {\frac{{{x^n}}}{{1 + {x^m}}}dx }$