The function $f(x)=\large\frac{|x|}{x^2+2x}\qquad$$x\neq 0$ and $f(0)=0$ is not continuous at $x=0$ because

Question

$\begin{array}{1 1}(a)\;\lim\limits_{x\to 0}f(x)\neq f(0)&(b)\;\lim\limits_{x\to 0^+}f(x)\;\text{does not exist}\\(c)\;\lim\limits_{x\to 0^-}f(x)\;\text{does not exist}&(d)\;\lim\limits_{x\to 0}f(x)\;\text{does not exist}\end{array}$