My Math Forum Rearrangement of Series

 Real Analysis Real Analysis Math Forum

 April 4th, 2017, 06:46 AM #11 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,313 Thanks: 2447 Math Focus: Mainly analysis and algebra [QUOTE=zylo;566136All the natural numbers appear as suffixes in both sums [/QUOTE] So they are two series, not one. Their sum is defined only if both series converge separately. I agree that there is something counter-intuitive about $1+3+5+\ldots +2+4+6+\ldots$ not being a rearrangement of $1+2+3+\ldots$. But from the point of view that $1+3+5+\ldots$ is a sum that never ends, we can clearly never get to the even numbers.

 Tags rearrangement, series

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Andrzejku98 Linear Algebra 3 March 12th, 2017 02:22 PM Albert.Teng Number Theory 15 June 27th, 2012 01:21 AM nlive Linear Algebra 1 January 25th, 2009 04:39 PM nlive Calculus 1 January 24th, 2009 03:18 PM Alex138478 Number Theory 6 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top