Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

If $f(x)=\left\{\begin{array}{lll}x & \text { if } & x<0 \\ 1 & \text { if } & x=0 \\ x^2 & \text { if } & x>0\end{array}\right.$. Then $\lim\limits_{x \rightarrow 0} f(x)$ is

Options:

0

1

2

does not exist

Correct Answer:

0

Explanation:

$\lim\limits_{x \rightarrow 0^{-}} f(x)=0$ and $\lim\limits_{X \rightarrow 0^{+}} f(x)=0$

Hence (1) is the correct answer.