Which one of the following is correct in respect of the function \(\rm f(x)=\frac{x^2}{|x|}\) for x ≠ 0 and f(0) = 0?

1
f(x) is discontinuous everywhere
2
f(x) is continuous everywhere
3
f(x) is continuous at x = 0 only
4
f(x) is discontinuous at x = 0 only

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