Hi Florian, > From a mathematical point of view, 0^0 = 1 is the more convenient one > in most contexts. Otherwise, you suddenly lack a compact notation of > polynomials (and power series). However, this definition is only used > in a context were the exponent is an integer, so it's not really > relevant to the current discussion.
if you restrict the domain of x^y to: x>=0 (real), y an integer >=0, and (x,y) not equal to zero, then there is a unique limit as (x,y) converges to zero, namely 1. So this is an example of extending by continuity. Ciao, Duncan.
