_ 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
D
Does not exist

✓

Answer

Does not exist

Solution:

$=\lim_\limits{\text{x} \rightarrow 0}\frac{\sin|\text{x}|}{\text{x}}$

$\text{ LHL} =-1,\text{RHL}=1$

Limit does not exist.

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