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Series expansion

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Poirot

Banned
Feb 15, 2012
250
express $\frac{1}{z+1}$ as a power series about z=1. My working: I know $\frac{1}{z+1}=1-z+z^2-z^3+.....$ but this is macluarin series.
 

girdav

Member
Feb 1, 2012
96
Write $\frac 1{1+z}=\frac 1{2+(z-1)}=\frac 12\frac 1{1+\frac{z-1}2}$.