Question Number 92032 by M±th+et+s last updated on 04/May/20
$$\underset{{x}\rightarrow\infty} {{lim}}\frac{\mathrm{2}^{\mathrm{4}{n}−\mathrm{1}} \ast\left({n}!\right)^{\mathrm{2}} }{\left(\mathrm{2}{n}+\mathrm{1}\right)\ast\left[\mathrm{2}{n}\:{p}\left({n}\right)\right]^{\mathrm{2}} } \\ $$