Question

$\underset{x\to 0}{\lim }\frac{\sin |x|}{x}$ is equal to

• A. 1
• B. 0
• C. positive infinity
• D. does not exist

Answer 1

Answer: (D)

$\underset{x\to 0}{\lim }\frac{\sin |x|}{x}$
$LHL=-1,RHL=1$
Limit does not exist.