New posts in Infinite Product

Evaluate the infinite product $\prod_{n=1}^{\infty} \left(1-\frac{2}{(2n+1)^2}\right)$

How can we show that $\sum_{n=1}^{\infty}{\zeta(2n)\over a^{2n}n}=\ln\left({\pi\over a\sin({\pi\over a})}\right)$?

Is this correct ${2\over 3}\cdot{6\over 5}\cdot{10\over 11}\cdots{4n+2\over 4n+2+(-1)^n}\cdots=\sqrt{2-\sqrt{2}}?$

Prove that $\prod_{n=2}^\infty \frac{1}{e^2}\left(\frac{n+1}{n-1}\right)^n=\frac{e^3}{4\pi}$

Differentiate $\displaystyle y = a^{x ^{a^{x^\cdots}}}$.

A Viéte-like infinite product for $\sin (\pi/7)$

Prove that $\ln{\left({A^6\sqrt{\pi}\over 2^{7\over6}e}\right)}=\sum\limits_{n=1}^{\infty}{(-1)^{n+1}\over n(n+1)}\eta(n)$

Limit of a sequence including infinite product. $\lim\limits_{n \to\infty}\prod_{k=1}^n \left(1+\frac{k}{n^2}\right)$

Find $\lim \limits_{n \to \infty}{1*4*7*\dots(3n+1) \over 2*5*8* \dots (3n+2)}$

Evaluating $\prod_{n=1}^{\infty}\left(1+\frac{1}{2^n}\right)$