Question Number 99994 by Dwaipayan Shikari last updated on 24/Jun/20
$$\mathrm{1}+\frac{\mathrm{1}}{\mathrm{16}}+\frac{\mathrm{1}}{\mathrm{81}}+\frac{\mathrm{1}}{\mathrm{256}}+.....\infty \\ $$
Answered by smridha last updated on 24/Jun/20
$$\boldsymbol{\zeta}\left(\mathrm{4}\right)=\frac{\boldsymbol{\pi}^{\mathrm{4}} }{\mathrm{90}} \\ $$