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## Homework Statement

Does there exist a power series expansion of log z around z=0? If so, what is it? If not, demonstrate that it is impossible.

## Homework Equations

[PLAIN]http://img839.imageshack.us/img839/4839/eq1.gif [Broken]

Here is the expansion of log z around z=1.

## The Attempt at a Solution

I'm actually trying to find the value of the singularity at z=0 (the coefficient of 1/(z-a) around z=a), if it's possible. I have no idea what to do.

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