then f x is ........

$f(x)=\begin{cases} \frac{x}{2x^{2}+|x|}& \text x\neq 0 \\ 1& \text x=0 \end{cases}$ then f(x) is

continuous but non-differentiable at x =0

differentiable at x = 0

discontinuous at x=0

None of these

discontinuous at x=0

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