1. The problem statement, all variables and given/known data Does there exist a power series expansion of log z around z=0? If so, what is it? If not, demonstrate that it is impossible. 2. Relevant equations [PLAIN]http://img839.imageshack.us/img839/4839/eq1.gif [Broken] Here is the expansion of log z around z=1. 3. The attempt at a solution I'm actually trying to find the value of the singularity at z=0 (the coefficient of 1/(z-a) around z=a), if it's possible. I have no idea what to do.