My Math Forum  

Go Back   My Math Forum > College Math Forum > Applied Math

Applied Math Applied Math Forum


Reply
 
LinkBack Thread Tools Display Modes
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?
William_33 is offline  
 
March 4th, 2013, 03:19 PM   #2
Global Moderator
 
CRGreathouse's Avatar
 
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.
CRGreathouse is offline  
Reply

  My Math Forum > College Math Forum > Applied Math

Tags
convergence, proof



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Proof of Convergence v8archie Real Analysis 1 December 24th, 2013 11:51 AM
Proof of Convergence of a (recursive) sequence MageKnight Real Analysis 1 May 2nd, 2013 06:40 PM
proof of convergence....please help! jmu123 Real Analysis 3 December 6th, 2010 01:35 PM
Proof of recurrence sequence convergence natkoza Real Analysis 2 December 6th, 2010 01:20 PM
Sequence convergence proof zve5 Real Analysis 2 September 24th, 2008 02:32 PM





Copyright © 2019 My Math Forum. All rights reserved.