Question

Evaluate the given limit :
$\underset{x\to 0}{lim}\left(x\sec x\right)$

Answer 1

Given : $\underset{x\to 0}{lim}x\sec x$
Substituting $x=0$
$=0\cdot \sec 0$
$=0\cdot 1$
$=0$
$\therefore \underset{x\to 0}{lim}\left(x\sec x\right)=0$