|
|
Re: 0^0=1
Posted:
Apr 27, 2012 5:57 AM
|
|
Dan Christensen wrote:
>
> [...] then x^1 = x only for non-zero x.
Not so. Your derivation relied on x not being zero, but that does not
mean that one cannot prove x^1 = x without that restriction.
> Why should 0^1 be
> acceptable with one starting point, but not another? Maybe x^0 = 1 for
> all integers x is an acceptable starting point after all. Of course,
> there is the problem with those limits as Virgil pointed out.
Limits don't come into it. What is under discussion is 0^0, _not_ the
limit(s) of x^y.
--
When a true genius appears in the world, you may know him by
this sign, that the dunces are all in confederacy against him.
Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting
|
|
