If f(x) = l x - 1, , , ,x < 0 , , , , , ,1 4 , , ,x = 0 , , , , ,… - Vidyadip

MCQ

If $f(x) = \left\{ \begin{array}{l}x - 1,\,\,\,x < 0\\\,\,\,\,\,\,\frac{1}{4},\,\,x = 0\\\,\,\,\,\,\,\,{x^2},\,\,x > 0\end{array} \right.$, then

A
$\mathop {\lim }\limits_{x \to 0 + } f(x) = 1$
B
$\mathop {\lim }\limits_{x \to 0 - } f(x) = 1$
✓
$f(x)$ is discontinuous at $x = 0$
D
None of these

✓

Answer

Correct option: C.

$f(x)$ is discontinuous at $x = 0$

c
(c) Clearly from curve drawn of the given function $f(x)$ is discontinuous at $x = 0.$

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