1. The problem statement, all variables and given/known data If z0 is a critical point of f(z), and m is the smallest integer such that f(m)(z0)=!= 0, then the mapping given by f multiples angles at z0 by a factor of m. Hint: Taylor's Theorem 2. Relevant equations 3. The attempt at a solution I don't even know where to start. Any hints would be appreciated.