Get Started
Start Free Mocks
CUETMOCK

Ace Your

CUET Preparation Today

Start Free Mocks
Home Questions JQDQF9HM5H
Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:
$h(x)=\begin{cases} x^2\sin(1/x)& \text{if}\hspace{.2cm} x \neq 0\\ 0,& \text{otherwise} \end{cases}$. What is $h'(0)$?
Options:
1
-1
0
2
Correct Answer:
0
Explanation:
$h'(0)=\lim_{x \to 0}\frac{h(x)-h(0)}{x-0}=\lim_{x \to 0}x\sin{1/x}=0$

CUET Questions