$\lim_{x \to \large\frac{\pi}{2}} \Large\frac{\cot x - \cos x}{(\pi -2x)^3}$ equals :

Question

$\begin{array}{1 1} (1) \large\frac{1}{16} \\ (2) \large\frac{1}{8} \\ (3) \large\frac{1}{4} \\ (4) \large\frac{1}{24} \end{array}$