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) differentiable but not continuous\\
(2) neither continuous nor differentiable\\
(3) continuous as well as differentiable\\
(4) continuous but not differentiable