# Math Help - Residue theorem

1. ## Residue theorem

For the first question, I have tried looking at examples and have noted that the bounds have been provided in a manner:

like |z|=1 (as given in part ii)

I am not sure how to get transform the given |z-pi|=pi in such a format, although i suspect it would be something like |z|=2pi ?
Where do I go from here?

for part ii) i don't understand how to treat the z^m term. does this imply that z^m is a series expansion, or is it trying to say m is a positive integer?
How do I solve this equation?