Sujet : Re: Repeating decimals are irrational
De : Keith.S.Thompson+u (at) *nospam* gmail.com (Keith Thompson)
Groupes : comp.theoryDate : 27. Mar 2024, 01:22:48
Autres entêtes
Organisation : None to speak of
Message-ID : <87bk70varb.fsf@nosuchdomain.example.com>
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.comWorking, but not speaking, for Medtronicvoid Void(void) { Void(); } /* The recursive call of the void */