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I put it in exponential form to get $\dfrac{re^{-i \theta}}{re^{i \theta}}$ but I think I'll get $\frac{0}{0}$ which isn't defined and isn't a good enough proof to say it doesn't have a limit.

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    You have to decide how $z$ goes to $0$. In terms of $r$ and $x$ for example. Then you can take the limit as usual.2012-11-01

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