1. The problem statement, all variables and given/known data 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 2. Relevant equations 3. 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.