Replying to
@ErickaSimone@mastodon.social @Lana@beige.party @meltedcheese@c.im either way, the way we define real numbers, there is no distinction between '1.999999...', '1 + 1/2 + 1/4 + ...', and '2', since all 3 can be defined as sequences that converge to the same value.
https://en.wikipedia.org/wiki/Construction_of_the_real_numbers#Construction_from_Cauchy_sequences is great if you can understand it, most arguments on https://en.wikipedia.org/wiki/0.999 can be applied too