This turned up in review audit (which I failed). I had tried to close this as PSQ because frankly speaking I did not understand anything at all. Questions from advanced topic should contain context so that mere mortals like me can figure out something.
Consider A in this equation:
$
\frac1{1-A}= \frac1{1-\lim_{n\to 1}n}
$
So, A=$lim_{n\to 1}n$ =?
Is A>1, A=1 or A<1 ?
A can be 1, 1.000...1, or 0.999...
But the definition of limit says n
approaches 1 but can not be 1, I think the definition already recognizes the existence of infinitesimal. So...
