Evaluate the following infinite sum using a similar convergent one
17713
What's the value of $\sum\limits_{k=1}^{\infty}\frac{k^2}{k!}$?
80465
Convergence/Divergence of $\sum_{n=1}^{\infty} \sin(1/n)$
76387
Evaluate the series $\sum_{n=1}^{\infty} \frac{2^{[\sqrt{n}]}+2^{-[\sqrt{n}]}}{2^n}$
84147
Evaluating $\sum_{n=1}^\infty \frac{2^{2n-1}}{5^{n+1}}$
37007
Evaluating $\sum_{k=1}^{n} \frac{1}{k(k+1)}$
137055
convergence or divergence of $\sum_{n=0}^∞ \frac{(\ln(n)+5)}{n^2}$
913
Evaluating $\sum_{n=0}^{\infty}{\sin^{3}\left(3^{n}\right) \over 3^{n}}$
8705
Evaluation of $\sum_{x=0}^\infty e^{-x^2}$
140458
Infinite summation involving exponents
132351
Is the infinite sum of $2 ^{-n}$ convergent? Why?
17686
Evaluate the infinite series $\sum_{r=1}^{\infty} \frac{2^{-r}}{r^{2}}$
135840
Convergence\Divergence of $\sum\limits_{n=1}^{\infty}\frac {1\cdot 3\cdots (2n-1)} {2\cdot 4\cdots (2n)}$
151189
calculate the sum of an infinite series
127267
Evaluation of $\sum_{n=1}^{\infty}\frac{1}{n(2n+1)}=2-2\ln(2)$
39659
Is there a closed formula for this summation?
119987
Show the series $ \sum_{j=1}^{\infty} \frac{(2^j)+ j}{(3^j) - j} $ converges
75459
study the convergence of $\sum_{n=1}^\infty \log \frac{n+1}{n}$