Determine if $f$ defined by $f(x) = \left\{ \begin{array} {1 1} x^2sin \large\frac{ 1 }{x},\normalsize & \quad\text{ if x \(\neq\) 0 }\\ 0 ,& \quad \text{if $x$ =0}\\ \end{array} \right. $ is a continuous function?

Question

$\begin{array}{1 1} \text{f is not continuous.} \\ \text{f is continuous for all} \; x\in R \end{array} $