LudovicoVan
Posts:
3,004
From:
London
Registered:
2/8/08
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Re: 0^0 = 0.9999...
Posted:
May 7, 2012 9:55 AM
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"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. You are just in
denial, and apparently unable to grasp that a definition can be or can be
not consistent with the rest of your system: there is no "ta-da" or
stipulation that is exempt from this.
-LV
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