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}) = ? $