I know this thread is a little bit old, but my high school math teacher ALWAYS talked about "the limit". Here's his example from what I can remember:

"If I stand x amount distance from the wall, and then decrease my distance by 50%, will I ever hit the wall?"
"No."
"But will I appear to be touching the wall eventually? The answer is yes. I may be physically touching the wall, however if we go down on an atomical level, I will never, ever, touch the wall."

Space is infinite.