Question

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

Answer 1

Here $\underset{x\to 0}{\text{lim}}$ x sec x

= $\underset{x\to 0}{\text{lim}}\times \frac{1}{\text{cos x}}=\underset{x\to 0}{\text{lim}}\frac{x}{\text{cos x}}=\frac{0}{1}=0$.