$\lim_{x \rightarrow 0} \left( 1^{1/\sin^2 x} + 2^{1/\sin^2 x} + \dots + n^{1/\sin^2 x} \right)^{\sin^2 x}$

Mathematics

Problem

\lim_{x \rightarrow 0} \left( 1^{1/\sin^2 x} + 2^{1/\sin^2 x} + \dots + n^{1/\sin^2 x} \right)^{\sin^2 x}