engineering recuitment GATE CSE 2023-24 Test Series Engineering Mathematics Calculus Differentiability
Given the following statements about a function \(f:R\rightarrow R\), select the wrong option:
1
If \(f(x)\) is continuous at \(x=x_0\), then it is also differentiable at \(x=x_0\)
2
If \(f(x)\) is continuous at \(x=x_0\), then it may not be differentiable at \(x=x_0\)
3
If \(f(x)\) is differentiable at \(x=x_0\), then it is always continuous at \(x=x_0\)
4
If \(f(x)\) is differentiable at \(x=x_0\), then it may not be continuous at \(x=x_0\)