Question

${lim}_{x\to 0}$ , $x$ $sin$ $x$ = ?

Answer 1

${lim}_{x\to 0}x\sin x$

$={lim}_{x\to 0}x\frac{\sin x}{x}\times x$

$={lim}_{x\to 0}{x}^2\times {lim}_{x\to 0}\frac{\sin x}{x}$

$=0\times 1=0$