On Thursday, September 19, 2013 11:41:47 AM UTC-4, Helmut Richter wrote: > On Thu, 19 Sep 2013, Dan Christensen wrote: > > > > > Again, the notion of 0^0 being undefined is not some radical notion. > > > Many standard textbooks make this assumption. It is probably more > > > mainstream than assuming 0^0=1. I'm sure that a poll of all math > > > instructors would confirm this. > > > > At least it makes the definition of power series easier. Would you like to > > see > > > > e^x = Sum(i=0,...) x^i/i! for x!= 0 > > = 1 for x = 0 > >
Yeah, it could get ugly, but until we can actually prove that 0^0=1 from first principles, this would be the prudent thing to do.
> > or do you prefer > > > > e^x = 1 + Sum(i=1,...) x^i/i! >