Re: Repeating decimals are irrational

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Sujet : Re: Repeating decimals are irrational
De : Keith.S.Thompson+u (at) *nospam* gmail.com (Keith Thompson)
Groupes : comp.theory
Date : 27. Mar 2024, 01:22:48
Autres entêtes
Organisation : None to speak of
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References : 1 2 3 4 5 6 7 8 9 10 11
User-Agent : Gnus/5.13 (Gnus v5.13) Emacs/27.2 (gnu/linux)
wij <wyniijj5@gmail.com> writes:
On Tue, 2024-03-26 at 15:55 -0700, Keith Thompson wrote:
[...]
Do you understand what a mathematical limit is?  Can you explain it?
 
If you understand limits, you should be able to understand that
0.333..., where the "..." denotes the limit as the number of 3s exceeds
without bound, is exactly equal to 1/3.
 
[...]
 
>
I already stated it the file:
https://sourceforge.net/projects/cscall/files/MisFiles/RealNumber-en.txt/download

OK, in that file you wrote:

    Ex1: A= lim(n->∞) 1-1/n= lim(n->0⁺) 1-n= lim 0.999...=1
         B= lim(n->∞) 1+1/n= lim(n->0⁺) 1+n= lim 1.000..?=1

What do you mean by that question mark?  Do you agree that both limits
in your example (A and B) are equal to 1?

--
Keith Thompson (The_Other_Keith) Keith.S.Thompson+u@gmail.com
Working, but not speaking, for Medtronic
void Void(void) { Void(); } /* The recursive call of the void */

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