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Topic: 0^0 = 0.9999...
Replies: 41   Last Post: May 10, 2012 2:01 PM

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 Frederick Williams Posts: 2,166 Registered: 10/4/10
Re: 0^0 = 0.9999...
Posted: May 7, 2012 1:02 PM

LudovicoVan wrote:

> Julio P. Di Egidio
> Software Analyst Programmer
> Integrated Payment Solutions LLP
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> "Frederick Williams" <freddywilliams@btinternet.com> wrote in message
> news:4FA7E917.A773D508@btinternet.com...

> > LudovicoVan wrote:
> >> "Frederick Williams" <freddywilliams@btinternet.com> wrote in message
> >> news:4FA7B8FD.20F43C4F@btinternet.com...
> >>

> >> > With the question posed thus, continuity and irrational numbers needn't
> >> > come into it. In particular one need not ask:
> >> >
> >> > What is lim x^y as x -> 0 and y -> 0 somehow?
> >> >
> >> > The first clause in a familiar recursion tells us that 0^0 = 1.
> >> > Problem
> >> > solved!

> >>
> >> This problem solved, the next one just round the corner.

> >
> > And the next one is?

>
> Virgil has provided a next one.

Limits? They're irrelevant.

> And there are more around: talking about
> the underlying principle, even the 9=3 derivation is an example.

Jussi Piitulainen's "proof" that 3 = 9 rested on assuming that 0^0 = 3.
It is no indication that one shouldn't take 0^0 to be 1.

I'm not sure whether you're stupid or dishonest. Maybe you're just a
troll.

--
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