YESPYQ Start Practice
🛠️ JEE➗ Maths

Let \(f(x)=\left\{\begin{array}{cc}x^2 \sin \left(\frac{1}{x}\right) & , x \neq 0 \\ 0 & , x=0\end{array} \right…

Q1

Let \(f(x)=\left\{\begin{array}{cc}x^2 \sin \left(\frac{1}{x}\right) & , x \neq 0 \\ 0 & , x=0\end{array} \right.\) .

Then at \(x=0\)

[JEE Main 2023, 24 Jan (Shift 1)]

a

\(f\) is continuous but not differentiable

b

\(f\) is continuous but \(f^{\prime}\) is not continuous

c

\(f\) and \(f^{\prime}\) both are continuous

d

\(f^{\prime}\) is continuous but not differentiable

🔒
Answer & explanation — PYQ Pass

Options are free to see. Unlock the correct answer and full explanation with Pass.

Unlock · ₹149
← Previous question

Practice more JEE Maths PYQs

See every question on Continuity and Differentiability, or browse the full JEE question bank.

See all questions on Continuity and Differentiability →