As I stated earlier, because the 'space' between 1.000... and 0.999... is indivisible, they are accepted to be the same number.
However, the proofs used to establish it's value all relate to limits in one form or another. I have yet to see a proof that a limit is a real value. A limit is only accepted as such.
![[Image: 7afed2eefa402af8cbc2eaa3646322ef.png]](https://images.weserv.nl/?url=upload.wikimedia.org%2Fwikipedia%2Fen%2Fmath%2F7%2Fa%2Ff%2F7afed2eefa402af8cbc2eaa3646322ef.png)
the f(x) becomes discontinuous (undefined) at x=1
f(0.999...)=1.999...
However, the proofs used to establish it's value all relate to limits in one form or another. I have yet to see a proof that a limit is a real value. A limit is only accepted as such.
the f(x) becomes discontinuous (undefined) at x=1
f(0.999...)=1.999...
You make people miserable and there's nothing they can do about it, just like god.
-- Homer Simpson
God has no place within these walls, just as facts have no place within organized religion.
-- Superintendent Chalmers
Science is like a blabbermouth who ruins a movie by telling you how it ends. There are some things we don't want to know. Important things.
-- Ned Flanders
Once something's been approved by the government, it's no longer immoral.
-- The Rev Lovejoy
-- Homer Simpson
God has no place within these walls, just as facts have no place within organized religion.
-- Superintendent Chalmers
Science is like a blabbermouth who ruins a movie by telling you how it ends. There are some things we don't want to know. Important things.
-- Ned Flanders
Once something's been approved by the government, it's no longer immoral.
-- The Rev Lovejoy
