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

Question

(a) continuous but not differentiable (b) continuous as well as differentiable (c) neither continuous nor differentiable (d) defferentiable but not continuous