And here you’ve hit on positive proof that 0.999… does equal 1!!!
0.999… is a decimal point followed by (n) 9s.
The difference between 1 and 0.999… is thus a decimal point followed by (n-1) 0s, and a 1.
However, since (n) equals infinity, (n-1) also equals infinity.
THEREFOR, there is nowhere for the one to go.
0.000(…)1 == 0!
Therefor, the difference between 1 and 0.999… is 0.
Eschew Obfuscation
That just goes to show you that almost all mathematicians, deep down, are practical mathematicians.
rocks
I asked the same question in another post without having done proper research in this one, because I asked the questrion without going first to this here post. Thus ignore my independent post and eliminate it as I now understand the whole thing.
Ummm . . . OK 
I’ll just close this since there is an active thread on the subject. Why doesn’t .9999~ = 1?
DrMatrix - GQ Moderator