Laurent series expansion

1. Eldonbetan

2
1. I am trying to calculate the laurent series expansion of the function 1/(1-z)² in the region 1<|z|

2. None

3. I can get an answer informally by doing the polynomial division like in high school, but I don't know if this is the right answer and in case it is I cannot prove it. Any help would be largely appreciated.

2. hgfalling

351
Recall that if a function is analytic on a domain, then its Laurent series and Taylor series are identical. Do you know how to do the Taylor series expansion?

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