On Thursday, September 26, 2013 10:54:14 AM UTC-4, dull...@sprynet.com wrote: > On Wed, 25 Sep 2013 14:24:54 -0700 (PDT), Dan Christensen > > <Dan_Christensen@sympatico.ca> wrote: > > > > >As taught in high schools and many university courses, 0^0 is undefined. > > > > Does the phrase "beating a dead horse" mean anything to you? >
I don't think any other topic has inspired as much heated debate in online math forums, but I think this may be a new approach to the problem. These days, the usual rationale for the historical practice of leaving 0^0 undefined is based on the use of path-dependent limits. See for example: https://en.wikipedia.org/wiki/Exponentiation#Zero_to_the_power_of_zero
I think of have shown that you don't need all the machinery of real analysis to justify this practice -- ordinary natural number arithmetic is quite up to the job.