My Math Forum Convergence proof

 Applied Math Applied Math Forum

 March 4th, 2013, 03:09 PM #1 Newbie   Joined: Feb 2013 Posts: 26 Thanks: 0 Convergence proof Prove that the power series $\sum_{k=0}^{\infty} z^{k}$ 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.

 Tags convergence, proof

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post v8archie Real Analysis 1 December 24th, 2013 11:51 AM MageKnight Real Analysis 1 May 2nd, 2013 06:40 PM jmu123 Real Analysis 3 December 6th, 2010 01:35 PM natkoza Real Analysis 2 December 6th, 2010 01:20 PM zve5 Real Analysis 2 September 24th, 2008 02:32 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top