Homework Statement
Find the Laurent series of f(z) = exp(1/z)/(z-1) around 0, and find Res{f(z), 0}.Homework Equations
The Attempt at a Solution
To find the Laurent series, I wrote exp(1/z) = \sum_{n=0}^∞ z-n/n!, and 1/(z-1) = -\sum_{n=0}^∞ zn.
Then, using Cauchy's product, and rearranging...