(March 4, 2012 at 2:00 pm)Tiberius Wrote: The number 0.999... never terminates. It also never changes value, so you can't say it "gets infinitely close" to anything. Single numbers aren't asymptotic, so I don't see how you can apply asymptotes here either. Perhaps you are confusing the number 0.999... with a function that gradually approaches 0.999...?
Sorry about the confusion! I'm not actually very educated in math so my terms are going to be a little bit jumbled and imprecise! But I want to learn more.
A lot of my original post was talking in figurative terms about why I liked the number 1 - 9.999... so much (if it even exists). I know asymptotes are functions and not single numbers. I know such a thing does not technically exist, but I was visualizing it as the "space between" the nonexistent "end" to an asymptotic function and 0, for ease of understanding. It's not really important to my question. More basically I was wondering: does 1 - 9.999... = 0?
Basically I'm talking about the infinitely small number (infinitely close to zero), if that makes it easier? Does it exist?
