On Friday, October 4, 2013 6:37:17 PM UTC-4, graham...@gmail.com wrote:
> > That you pick the point x=0 and deliberately give it different values > > and making oo many superfluous functions in place of an unknown > > to support your view 0^0 is not 1 is rather obscure. >
Not just any functions, but functions that agree everywhere but at (0,0). Make a table of values and verify for yourself that changing the value of 0^0 has no effect on the other entries if you use these defining equations:
(1) x^0 = 1 for x=/=0 (2) x^(y+z) = x^y * x
> > > Plot every point of X^Z on a 3D graph and 0^0 is clearly 1. >
I really wish that was true, but it seems our high school teachers had it right all along.