1. The problem statement, all variables and given/known data Find the Laurent series of the function f(z) = Sin(1/(z^2-z)) in the region 0<|z|<infinity. 3. The attempt at a solution Now sin(z) = [e^(iz) - e^(-iz)]/(2i) Shall we replace z by 1/(z^2-z) to obtain the Laurent series for f(z)? I tried this but it gets messy. Is there a clever method? or any other approach?