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Write down the biggest subset $D$ of $\mathbb C$ on which ${\rm Log(z)}$ is a continuous function. Explain why ${\rm Log(z)}$ is not continuous at points outside $D.$

Anyone know the answer to this?

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    [Related...](http://math.stackexchange.com/questions/2914)2012-04-18
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    My answer here: http://math.stackexchange.com/questions/88341/branch-cut-and-logz-derivative/88358#88358 might help...2012-04-18

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