Complex Power Series Radius of Convergence Proof
oh ok, so if say, since f(z) = 0, d/dz = 0, then taking the derivative of every term of the series yields d/dz (a_{n}(z  z_{0})^{n}) = (na_{n}(z  z_{0})^{n1}) = (na_{n}(z  z_{0})^{n})/(z  z_{0})^{1} and then that means (z  z_{0}) can't = 0 so the a_{i} must be 0? Is that right, or sort of right, or totally wrong?
