(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the Laurent series of

[itex]

\frac{(z+2)}{(z-1)}

[/itex]

on

[itex]C_1: 1 < |z|[/itex]

and

[itex]C_2: 0 < |z| < 1[/itex]

2. Relevant equations

I have a formula for computing Laurent series, but it includes an integral that is impossible to solve. For everything that I've read, no one actually solves them this way. I don't think there's any relevant equations that I know that can help.

3. The attempt at a solution

I've been stumped on this for four days now. I've been trying to self-work through a complex analysis textbook over the summer, and I'm really close to giving up as I completely can't wrap my head around the annulus type Laurent series stuff.

Any advice helps. I've read lots and Googled lots. I know Taylor series and such...

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# Homework Help: Complex Laurent Series

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