Question

Evaluate : ${lim}_{x\to 0}\frac{\sin \left\{x\right\}}{\left\{x\right\}}$

Answer 1

$\begin{array}{c}Wehave\\ {lim}_{x\to 0}\frac{\sin x}{x}\\ =\frac{{lim}_{x\to 0}\sin x}{{lim}_{x\to 0}x}\\ =\frac{0}{{lim}_{x\to 0}x}\\ =0\\ Hencetherequiredansweris0.\end{array}$