text: The simplest answer is that it is not infinite, but undefined.\n\nThis is due to a simple reason - 0/0 gives different answers depending on which direction you come from.\n\nConsider the expression x/x, if you make x really, really small (but still greater than zero), you will be getting very close to 0/0, and your answer is always one.\n\nOK, now look at 2x/x - if you again make x really, really small (but still greater than zero), you will still be getting very close to 0/0, but now your answer is always two!\n\nThe problem is in the *vicinity* of 0/0, the numbers jump all over the place, and don't make a pattern. Any other choice of numerator and/or denominator will always result in a vacinity where the values are all around a single value. Mathematicians deal with this sort of uncertainty by saying that it is undefined.