Find all points of discontinuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} \large \frac{ |\;x\;| }x,& \quad\text{ if x \(\neq\) 0 }\\ 0 ,& \quad \text{if $x$ =0}\\ \end{array} \right. $

Question

$\begin{array}{1 1} \text{The point of discontinuity is x=1} \\ \text{The point of discontinuity is x=-1} \\ \text{The point of discontinuity is x=0} \\ \text{ The point of discontinuity is x=2} \end{array} $