Question

Evaluate the given limit: $\underset{x\to 0}{lim}x\sec x$

Answer 1

The value of $\underset{x\to 0}{lim}x\sec x$

$={lim}_{x\to 0}\frac{x}{\cos x}$

$=\frac{0}{\cos 0}$

$=\frac{0}{1}=0$