At what point is this piecewise function continuous?

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let $$f(z) = \begin{cases} z & |z|\leq 1 \\ |z|^{2} & |z|> 1 \end{cases}\ \text{where}\ z\in \mathbb{C}$$Does anyone could help me ?Thanks!

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Here is an almost give-away of a hint: $|z|^2$ is real.