_ x 0 |x| x is equal to: - Vidyadip

MCQ

$\lim_\limits{\text{x} \rightarrow 0}\frac{\sin|\text{x}|}{\text{x}}$ is equal to:

A
$1$
B
$0$
C
Positive infinity
✓
Does not exist

✓

Answer

Correct option: D.

Does not exist

$=\lim_\limits{\text{x} \rightarrow 0}\frac{\sin|\text{x}|}{\text{x}}$
$\text{ LHL} =-1,\text{RHL}=1$
Limit does not exist.

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