So we had an interesting discussion the other day about 0.999... repeated to infinity, actually being equal to one. I understand the proof, but I'm wondering then if you had the function...
$$ f(x) = x* \frac{(x-1)}{(x-1)} $$
so $$ f(1) = NaN $$
and $$ \lim_{x \to 1} f(x) = 1 $$ what would the following be equal to?
$$ f(0.\overline{999}) = ? $$