Quote by HallsofIvy
We might note that many text refer to "0/0" as "undetermined" rather than "undefined" because if you have a limit of a fraction where the numerator and denominator both go to 0, the actual limit itself can exist and can be anything.

There is a distinction between (1) lim f/g, where f > 0 and g > 0 and (2) 0/0. Case (1) is undetermined, case (2) is undefined.