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Topic: 0^0=1
Replies: 145   Last Post: Jun 5, 2012 1:10 PM

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 Frederick Williams Posts: 2,166 Registered: 10/4/10
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

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