Could I use telescoping sum?
Calculus
Level
4
\[ \large \lim_{x \to 0} \left (1^{\frac 1 {\sin^2 x}} + 2^{\frac 1 {\sin^2 x}} + 3^{\frac 1 {\sin^2 x}} + \ldots + n^{\frac 1 {\sin^2 x}} \right )^{\sin^2 x } = \ ? \]
by
Tanishq Varshney