
Re: Finally the discussion is over: S = Lim S is a bad definition.
Posted:
Oct 5, 2017 2:28 PM


On Thursday, October 5, 2017 at 2:22:40 PM UTC4, Dan Christensen wrote: > On Thursday, October 5, 2017 at 1:22:37 PM UTC4, 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} 110^(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 = 1  1/10^n (the nth partial sum) > > S_1 = 0.9 > S_2 = 0.99 > S_3 = 0.999 > > and so on.
Or equivalently, S_n = Sum(k=1,n): 9/10^k
> > Dan > > Download my DC Proof 2.0 software at http://www.dcproof.com > Visit my Math Blog at http://www.dcproof.wordpress.com

