Re: Repeating decimals are irrational

On Tue, 2024-03-26 at 17:01 -0700, Keith Thompson wrote:

wij <wyniijj5@gmail.com> writes:

On Tue, 2024-03-26 at 16:22 -0700, Keith Thompson wrote:

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?
 

 
Agree.

 
OK.  Do you agree that 0.333..., where ... denotes the limit as the
number of 3s increases without bound, is exactly equal to 1/3?
 

Nop.

And that that number multipled by 3 is exactly equal to 1?
 
And that 0.999... is exactly equal to 1?
 
And that all the numbers we're discussing are both real and rational?
 

Can you make statement really like math?
You still keep asserting your belief, not a proof but strangely formed statement !!!
You cannot read proof !!! Go home and learn more.