1 = 0,99........

[BAndrew]

All
the proof you have is based around the flawed assertion that 1-0.9~ is
0. All of your calculations depend on this, and you provided no proof
for this assertion. Occam's Razor dictates that the explanation that
makes the least amount of unnecessary assumptions is the most efficient
and most likely correct. I am not making any assumptions by saying
1-0.9~ > 0 because 0.9~ < 1. Prove without making any assumptions how it is not.

I didn't make any assumptions.



Tell me where the assumption is.

lim n->nf {0.00 … 01} (n-1) …

I already told that this is not an assumption. It is archimedean property.