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}$