I tried to prove that 1 = 0.999... a different way after that post you replied to, and Mario responded to me with something about how 1/3 is irrational. That's how sqrt 2 came into the discussion, because in saying that 1/3 is rational, I wanted to give an example of an actually irrational number. Just something for Mario to think about because he couldn't think of any integer fractions a/b to express it. As quickly as it entered the discussion, sqrt 2 leaves it.
Infinity is not a number. .999... is. Therefore, this is irrelevant. I'm not sure how sqrt(2) relates, but I'll let it pass.