Evaluating a sum: $\sum_{n=0}^{\infty} nx^{2n+1}$
6416
How can I evaluate $\sum_{n=0}^\infty(n+1)x^n$?
60104
Evaluate $\sum_{k=1}^\infty\frac{x^k}{k(k+1)}$
16143
How can I prove that $\sum_{n=1}^\infty \frac{1}{n(n+1)} = 1$?
138542
Evaluating sums question $\sum_{k=2}^n \frac{1}{k^2-1}$
88973
How do you calculate this sum $\sum_{n=1}^\infty nx^n$?
65939
Is this convergent or divergent: $\sum _{n=1}^{\infty }\:\frac{2n^2}{5n^2+2n+1}$?
49262
Evaluation of Sum of $ \sum_{n=1}^{\infty}\frac{\sin (n)}{n}$.
92754
Closed form for the series: $\sum_{n=1}^{\infty}x^{n^2}$
127267
Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(2n+1)}=2-2\ln(2)$
120633
How to find sum of this series $\sum_{0}^{\infty} \frac{(n!)^{2}x^{n}}{(2n)!}$
61547
Derive an explicit formula for a power series $\sum_{n=1}^\infty n^2x^n$
156720
Evaluate $\sum_ {n=1}^{\infty} \cot^{-1}(2n^2)$
14883
Find $\sum_{n=1}^{\infty}$ $\frac{n^{2}}{\left(n+1\right)\left(n+2\right)\left(n+3\right)\left(n+4\right)}$
138313
How to sum $\sum_{n=1}^{\infty} \frac{1}{n^2 + a^2}$?
151477
computing the series $\sum_{n=1}^\infty \frac{1}{n^2 2^n}$
28378
Find the infinite sum of the series $\sum_{n=1}^\infty \frac{1}{n^2 +1}$
70841
A simple series $\sum_{i=1}^\infty \frac{i}{2^i} = 2$