On Wednesday, September 11, 2013 12:26:05 PM UTC-7, Peter Percival wrote: > Dan Christensen wrote: > > 0^0 = 0^0 * 0^0 > > Therefore, 0^0 = 0 or 1. > > > To my knowledge, there is no purely number-theoretic justification > > for eliminating either possibility. > > I'm sure this > https://en.wikipedia.org/wiki/0%5E0#Zero_to_the_power_of_zero has been > pointed out to you (either the page or the facts on the page), so your > claim seems to be wrong.
I notice that that page says "In most settings not involving continuity in the exponent, interpreting 0^0 as 1 simplifies formulas and eliminates the need for special cases in theorems"
Most settings? Are there ANY settings (not involving continuity in the exponent) where interpreting 0^0 as 1 is inappropriate?