Question Number 196705 by josemate19 last updated on 29/Aug/23
$$\underset{{n}\rightarrow\infty} {\mathrm{lim}}\underset{−\infty} {\overset{\:\:\:\:\infty} {\int}}\frac{{n}!\mathrm{2}^{\mathrm{2}{ncos}\left(\phi\right)} }{\underset{{k}=\mathrm{1}} {\overset{\infty} {\prod}}\left(\mathrm{2}{ne}^{{i}\phi} −{k}\right)}{d}\phi \\ $$