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Given the following statements about a function $f: \Bbb R \rightarrow \Bbb R$, select the right option:

P: If $f(x)$ is continuous at $x = x_0$ then it is also differentiable at $x = x_0$.

Q: If $f(x)$ is continuous at $x = x_0$ then it may not be differentiable at $x = x_0$.

R: If $f(x)$ is differentiable at $x = x_0$ then it is also continuous at $x = x_0$.

- P is true, Q is false, R is false
- P is false, Q is true, R is true
- P is false, Q is true, R is false
- P is true, Q is false, R is true