Re: Something divided by zero is Infinity
Yeah, I hear that a lot. It depends on the something.
In practice, division by zero usually arises when people start with a model, like "A/B" and extrapolate. If A is definitely non-zero and non-infinite, but B tends to zero, limit(A/B) is certainly infinite. However, if both A and B tend to infinity or zero, their ratio may be defiantly finite. It might be 0, or it might be 110%, and if you know a little bit more about A and B you might be able to figure out the right answer. (Google for L'Hopital's Rule if you care.)
Consequently, if you simply pose a problem like "0/0" or "∞/∞" then you haven't provided enough information. It's a bit like walking up to someone in the street and saying "What's the answer, then?".