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Re: Finally the discussion is over: S = Lim S is a bad definition.
Posted:
Oct 5, 2017 2:22 PM


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.
Dan
Download my DC Proof 2.0 software at http://www.dcproof.com Visit my Math Blog at http://www.dcproof.wordpress.com



