value of $\sum_{k=1}^{\infty} k^{-k}$.
12423
"Closed" form for $\sum \frac{1}{n^n}$
114414
Sum of $\sum_{k=1}^n\sin{k\theta}$
137155
Sum $ \sum\limits_{k=1}^{\infty} \frac{k^2}{2^k}$
9193
Simple series convergence/divergence: $\sum_{k=1}^{\infty}\frac{2^{k}k!}{k^{k}}$
16143
How can I prove that $\sum_{n=1}^\infty \frac{1}{n(n+1)} = 1$?
63863
Evaluate: $\sum_{n=1}^{\infty}\frac{1}{n k^n}$
44706
Behavior of $\sum a_n x^n$ given $\sum |a_n - a_{n-1}| < \infty$
16967
Sum : $\sum_{n=0}^\infty \frac{(-1)^n}{(2n+1)^3}$
50812
Partial sum of the series $\sum\limits_{r=1}^{\infty} \frac{1}{r(r+1)}$
101052
Find the infinite sum $\sum_{k=1}^{\infty}\sqrt k - 2\sqrt {k + 1} + \sqrt {k + 2} $
33965
Convergence of $\sum_{n=1}^\infty (-1)^n(\sqrt{n+1}-\sqrt n)$
71240
The limit of a sum $\sum_{k=1}^n \frac{n}{n^2+k^2}$ as $n\rightarrow\infty$
151179
Finding the value of $\sum k/3^k$
149360
convergence of $ \sum_{k=1}^\infty \sin^2(\frac 1 k)$
102942
Compute the sum $\sum_{k=1}^{\infty}k^mz^k$ where $|z|<1$
128200
Sequence sum question: $\sum_{n=0}^{\infty}nk^n$
140877
Evaluate the sum $\sum_{k=1}^n {n \choose k-1} {n \choose k}$