text: why value of 0/0=infinite not 1?   the simplest answer is that it is not infinite, but undefined.  this is due to a simple reason - 0/0 gives different answers depending on which direction you come from.  consider 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.  ok, 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!  the 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.