March 4th, 2013, 03:09 PM  #1 
Newbie Joined: Feb 2013 Posts: 26 Thanks: 0  Convergence proof
Prove that the power series converges at no point on its circle of convergence z = 1. I have no idea how to prove this? 
March 4th, 2013, 03:19 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: Convergence proof
The terms aren't even converging to 0, so the sum certainly can't converge.


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