Question Number 162287 by qaz last updated on 28/Dec/21
$$\underset{\mathrm{n}\rightarrow\infty} {\mathrm{lim}}\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt[{\mathrm{n}}]{\mathrm{x}^{\mathrm{n}} +\left(\mathrm{1}−\mathrm{x}\right)^{\mathrm{n}} }\mathrm{dx}=? \\ $$
Commented by mr W last updated on 28/Dec/21
$${it}\:{should}\:{be}\:{equal}\:{to}\:\frac{\mathrm{3}}{\mathrm{4}},\:{geometrically}. \\ $$
Commented by MathsFan last updated on 28/Dec/21
$${yeah} \\ $$
Commented by mr W last updated on 28/Dec/21
Commented by qaz last updated on 28/Dec/21
$$\mathrm{yes}\:\mathrm{sir} \\ $$