GATE Papers >> ECE >> 2016 >> Question No 13

Question No. 13 ECE | GATE 2016

Given the following statements about a function $\style{font-family:'Times New Roman'}{f:\mathbb{R}\rightarrow\mathbb{R}}$, select the right option:

P: If $f(x)$is continuous at x=x0, then it is also differentiable at x=x0.
Q: If $f(x)$ is continuous at x=x0, then it may not be differentiable at x=x0.
R: If $f(x)$is differentiable at x=x0, then it is also continuous at x=x0.

Answer : (B) P is false, Q is true, R is true

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