ID: Class: 12 Subject: Math Topic: Continuity and Differentiability Type: Very short (VSA) Year: 2024

Question:

Verify whether the function f defined by \(f(x)=\begin{cases}x~\sin(\frac{1}{x}),&x\ne0\\ 0,&x=0\end{cases}\) is continuous at \(x=0\) or not.