Date: Oct 5, 2017 1:42 PM
Author: Dan Christensen
Subject: Re: Finally the discussion is over: S = Lim S is a bad definition.

On Thursday, October 5, 2017 at 1:22:37 PM UTC-4, John Gabriel wrote:> > > > 0.999... is a short hand for an infinite sum  (S = 0.9+0.09+0.009+...) which we define as the limit of a finite sum (Lim S = Lim {n \to \infty} 1-10^(-n)) as the number of terms approaches infinity.> > Yes, S = Lim S.  Clear as water.> Wrong again, Troll Boy. That should be:   S = Lim(n-->oo): S_n     where S_n = Sum(k=1,n): 1 - 1/10^k  (the nth partial sum)DanDownload my DC Proof 2.0 software at http://www.dcproof.comVisit my Math Blog at http://www.dcproof.wordpress.com