If: $$0.\overline{9999999} \equiv 1$$
Then how would you represent a value that is infinitesimally close to one, but not quite one?
i would have thought: $$1-\frac 1 \infty $$
But i would take that to be: $$0.\overline{9999999} = 1$$
Or do i have to subtract an infinitesimal amount from one?
$$ 1 - 0.\overline{000000}1$$
$$ 1 - 1 \times 10 ^{-\infty}$$