Fun digression late on a Wednesday :) The indeterminate form seems the most correct based on the analysis of the limit of f(x,y) = x^y as x approached zero fro

Fun digression late on a Wednesday :) The indeterminate form seems the most correct based on the analysis of the limit of f(x,y) = x^y as x approached zero from different paths. I had always thought of it more of an algebraic identity thing; x^n * x^m = x^(n+m). Obviously x^(n) = x^(n+0) = x^n * x^0 which can only be satisfied if x^0 = 1. But this article (and really, the wikipedia treatment that beej71 linked to) made me think more about it.