My Math Forum Target Values & Series

 Real Analysis Real Analysis Math Forum

 September 24th, 2008, 06:55 PM #1 Newbie   Joined: Sep 2008 Posts: 1 Thanks: 0 Target Values & Series Consider the series 1-(1/2)+(1/3)-(1/4)+...+((-1)^(k-1))/k+...prove that there is a target value T (whether we know what it is or not) which is the VALUE of this series. Can anyone help me out? I have a value of 2/3 and where n=10 value is within .001. But not quite sure what this question is asking me to do???
 September 25th, 2008, 03:04 AM #2 Site Founder     Joined: Nov 2006 From: France Posts: 824 Thanks: 7 Re: Target Values & Series The problem asks you to show that this series is convergent. In order to do this, you can use the alternate series theorem: consider sequence (u_n) of real numbers such that (-1)^(n+1)u_n >=0, limit u_n = 0 and (|u_n|) is decreasing. Then sum(u8n) converges.

 Tags series, target, values

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post xamdarb Calculus 2 March 14th, 2014 06:34 PM redliner74 Economics 3 July 17th, 2013 11:04 PM Bringer23 Advanced Statistics 1 June 13th, 2012 11:24 PM tomb Economics 5 November 16th, 2011 10:06 AM clooneyisagenius Real Analysis 1 January 30th, 2008 12:50 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top