text: For the most part, I will second gopal's answer with a little bit of detail.\n\nNormally, division by 0 is undefined, so the people who said that are telling the absolute mathematical truth.\n\nBut there are many forms where 0/0 is simply indeterminate.\n\nTake for instance, the limit as x approaches zero of sin(x)/x\n\nBoth the numerator and denominator are defined at x = 0, so the limit would seem to be 0/0. But this doesn't tell the story of what the ratio does as x approaches 0.\n\nTaking x to be a radian measure, let's try a few values for x:\n\nx = 0.1 => sin(x) = 0.099833416\nx = 0.01 => sin(x) = 0.009999833\nx = 0.001 => sin(x) = 0.000999999\n\nWhat you might notice is that x approaches 0, x and sin(x) get closer and closer together. That must mean that as x approaches 0, sin(x)/x approaches 1. The indeterminate form 0/0 doesn't tell us anything about the rate at which both functions approach 0.\n\nOf course, this doesn't mean that all indeterminate forms 0/0 have a value of 1. It depends on what you can figure out about the response of the parts of the ratio as x approaches some value that makes the ratio indeterminate. In calculus, there is a technique called L'hopital's Rule that can be used to find limits of functions that have indeterminate forms like 0/0 and infinity/infinity.