Theorem 7.9 says that the derivative of a power series is itself another power series. Reasonably enough, one of the things we have to be sure of is that this new power series converges in the same region as the original one. We shall prove this in a separate lemma:
Analysis WebNotes by John Lindsay Orr.
Comments to the author: jorr@math.unl.edu
All contents copyright (C) 1996 John L. Orr University of Nebraska--Lincoln All rights reserved
Last modified: May 1996
