Question

Evaluate : ${lim}_{x\to 0}\frac{\cos x}{\pi -x}$

Answer 1

We have,

$\begin{array}{c}{lim}_{x\to 0}\left(\frac{\cos x}{\pi -x}\right)\\ =\frac{\cos 0}{\pi -0}\\ =\frac{1}{\pi }\end{array}$

Hence, this is the answer.