If f(x) = l x ;: ;x < 0 1 ;: ;x = 0 x^2 ;: ;x > 0 .,then _ x 0 f(… - Vidyadip

MCQ

If $f(x) = \left\{ \begin{array}{l}x\;:\;x < 0\\1\;:\;x = 0\\{x^2}\;:\;x > 0\end{array} \right.,$then $\mathop {\lim }\limits_{x \to 0} f(x) = $

A
$0$
B
$1$
C
$2$
✓
Does not exist

✓

Answer

Correct option: D.

Does not exist

$\text{L.H.L.} = 0$ and $\text{R.H.L.}$ cannot be found as the function is not defined for $x > 0.$

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