$\lim _{x \rightarrow \frac{\pi}{2}} \frac{\cot x-\cos x}{(\pi-2 x)^{3}}$ equals :-
$\frac{1}{4}$
$\frac{1}{24}$
$\frac{1}{16}$
$\frac{1}{8}$
Correct Option: , 3
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