Mathematics - Limits Question with Solution | TestHub

$L={}_{x\to 0}^{Lt}(1^{{\mathrm{cosec}}^{2}n}+2^{{\mathrm{cosec}}^{2}n}+$ $\_\_\_\_$ ${+n^{{\mathrm{cosec}}^{2}n})}^{{\sin }^{2}n}$

${}_{x\to 0}^{Lt}{\left({\left(\frac{1}{n}\right)}^{{\mathrm{cosec}}^{-}b}+{\left(\frac{2}{n}\right)}^{{\mathrm{cosec}}^{-}n}+\dots {\left(\frac{n-1}{n}\right)}^{{\mathrm{cosec}}^{-}n}+1\right)}^{{\sin }^{-}n}\cdot n$

$=(0+0+0+$ $\_\_\_\_$ $+1{)}^0.n=n$