$\sum_{n=1}^\infty \frac{1}{n^4}=\frac{\pi^4}{90}$
15477
Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$?
137027
Find the value of $\sum_{n=0}^\infty\frac{1}{9n^2+9n+2}$
148940
$\sum_{n=1}^\infty\frac1{n^6}=\frac{\pi^6}{945}$ by Fourier series of $x^2$
127189
sum of this series: $\sum_{n=1}^{\infty}\frac{1}{4n^2-1}$
30407
Prove that $\sum_{n=1}^\infty\frac{n}{n^2+1}$ is divergent
52987
$\sum_{n=-\infty}^{\infty}\frac{1}{(n+\alpha)^2}=\frac{\pi^2}{(\sin \pi \alpha)^2}$?
115420
Evaluate $\sum_{n=1}^{\infty} \frac{n}{n^4+n^2+1}$
104646
Question on simplification of $\sum_{n=1}^{\infty}\frac{2}{(2n+1)(2n+3)}$?
107470
To show that the limit of the sequence $\sum\limits_{k=1}^n \frac{n}{n^2+k^2}$ is $\frac{\pi}{4}$
44754
Infinite Series $\sum\limits_{n=1}^{\infty}\frac{1}{4^n\cos^2\frac{x}{2^n}}$
137640
Proof that $\sum_{1}^{\infty} \frac{1}{n^2} <2$
82391
Why does $\sum_{k=1}^{\infty}\frac{{\sin(k)}}{k}={\frac{\pi-1}{2}}$?
154544
Prove that $ \sum_{n=0}^\infty \frac{z^{2^n}}{1-z^{2^{n+1}}}=\frac{z}{1-z} $
9610
Find the sum of $\sum\limits_{n=1}^{\infty} \frac{x^{n}}{n(n+1)}$
91316
Sum of the series $\sum _{ r=1 }^{ \infty }{ \frac { { r }^{ 3 } }{ r! } } $
149658
How would you show that the series $\sum_{n=1}^\infty \frac{(2n)!}{4^n (n!)^2}$ diverges?
99003
How do we calculate this sum $\sum_{n=1}^{\infty} \frac{1}{n(n+1)\cdots(n+p)}$?