this doesn't make sense to me, smart people? (infinity)

[MadMojoMonkey]

The thing is that there is no asymptote in the naming issue. There is no "limit as x goes to infinity" here. There's just a dual name.

Anyone who can do "long" division can show that 1/3 = 0.333 (repeating 3).
My examples above don't involve any functions, just simple grade-school math.

It is funny and counter-intuitive that rational numbers should have 2 names, but it doesn't really change anything. It's just unexpected, and cool.

[spoonitnow]

There is no "limit as x goes to infinity" here.

This is what confuses people on this particular topic 0.999... times out of 1 in my experience.

[seven-deuce]

It is funny and counter-intuitive that rational numbers should have 2 names, but it doesn't really change anything. It's just unexpected, and cool.

What do you mean two names?

Like 0.999... has the name 0.999... and also 1?

It feels like my whole world just exploded.