- #1
brianhawaiian
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Homework Statement
Find all possible Laurent expansions centered at 0 for
(z - 1) / (z + 1)
Find the Laurent Expansion centerd at z = -1 that converages at z = 1/2 and determine the largest opens et on which
(z - 1) / (z + 1) converges
Homework Equations
The Attempt at a Solution
(z - 1) / (z + 1) breaks down into [z / (z+1)] - [1 / (z+1)]
For the first one divide out the z to obtain 1 / 1 + (1/z) I think? However not being in the form 1 / 1 - (1/z) would this be the same series but negative? That doens't seem right.
For breaking down -1 / (z + 1) I didn't know how to attack that one.