0^0 = 1

来源: 于 2007-04-29 15:35:27 [旧帖] [给我悄悄话] 本文已被阅读：次

1) 0^0 = 1
2) Suppose that the sequence f(1) = x, f(2)=x^x, ..., f(n+1)=f(n)^x, then

as x->+0, f(2) -> 1. Suppose f(n)^x -> y, as n->00, x->0, then

y= f(2)^y, and f(2) ->1 so y->1. Done.