_ x 0 |x| x = - Vidyadip

MCQ

$\lim _{x \rightarrow 0} \frac{|x|}{x}=$

A
1
B
-1
C
$0$
✓
does not exist

✓

Answer

Correct option: D.

does not exist

(D)
Since $\lim _{x \rightarrow 0^{-}} \frac{|x|}{x}=-1$ and $\lim _{x \rightarrow 0^{+}} \frac{|x|}{x}=1$, limit does not exist.

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