Let f: R → R be a function such that
Question:

Let $f: R \rightarrow R$ be a function such that $|f(x)| \leq x^{2}$, for all $x \in R$. Then, at $x=0, f$ is:

1. Neither continuous nor differentiable

2. differentiable but not continuous

3. continuous as well as differentiable

4. continuous but not differentiable

Correct Option: , 3

Solution: