Limit $\lim_{x\to 0}\left(\frac{1}{1^\left (\sin^2x \right)}+\cdots+\frac{1}{n^\left (\sin^2x \right)}\right)^\left(\sin^2x \right) = ?$

Question

$$\lim_{x\to 0}\left(\frac{1}{1^\left (\sin^2x \right)}+\frac{1}{2^\left (\sin^2x \right)}+\cdots+\frac{1}{n^\left (\sin^2x \right)}\right)^\left(\sin^2x \right) = ?$$

This doesn't seem an indeterminate form to me so I directly substituted the value of x to evaluate the limit. Am I right?