Question

If 0.999... = 1, what does 1 mean on the interval [0, 1).
1 is excluded from the interval, and I always imagined that it represented 0.999... but that's equal to 1 apparently.

Answer 1

just that 1 is not included (and so neither is \(.\overline{9}\))

Answer 2

\[[0,1)=\{x\in\mathbb{R}|0\le x<1\}\]

Answer 3

so what would the value just before 1 be?

Answer 4

@Zarkon

Answer 5

there isn't one

Answer 6

any value you pick less than one I can find a number that is even closer to one

Answer 7

Hm ok I find that interesting :) thanks