Question Number 190178 by mnjuly1970 last updated on 29/Mar/23
$$ \\ $$$$\:\:{calculate} \\ $$$$ \\ $$$$\:\:\:\:\mathrm{lim}_{\:\mathrm{n}\rightarrow\infty} \frac{\:\Gamma\:\left(\:\frac{\:{n}+\mathrm{3}}{\mathrm{2}}\:\right)}{{n}^{\:\frac{\mathrm{3}}{\mathrm{2}}} .\Gamma\:\left(\frac{{n}}{\mathrm{2}}\:\right)}\:=\:? \\ $$
Commented by Frix last updated on 29/Mar/23
$$\frac{\sqrt{\mathrm{2}}}{\mathrm{4}}? \\ $$