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Message from discussion Is (a^x)*(1/a^x)=1?
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David W. Cantrell  
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 More options Oct 26 2002, 8:11 pm
Newsgroups: sci.math, sci.physics
From: David W. Cantrell <DWCantr...@sigmaxi.org>
Date: 26 Oct 2002 14:41:33 GMT
Local: Sat, Oct 26 2002 8:11 pm
Subject: Re: Is (a^x)*(1/a^x)=1?

"John Christiansen" <superkae...@mail1.stofanet.dk> wrote:
> I suggest you re read the original post Helmut Wabnig,
> what we really get is x/x which is always 1.

No, not always! If there is anything of interest here, it is the fact
that x/x is not always 1. Of course, if x is a _nonzero_ real or complex
number, then x/x is indeed 1. But if x = 0, then x/x is normally considered
to be undefined in mathematics. [FWIW, outside of mathematics, we find that
0/0 is NaN in standard floating-point arithmetic, 0 in J, and 1 in APL.]

  David Cantrell

> "Helmut Wabnig" <hwXab...@aXon.at> skrev i en meddelelse
> news:3dgkrugfkpgbbanf2qvrqff2mvlleb41ic@4ax.com...
> > On 25 Oct 2002 09:32:48 -0700, vgopa...@rediffmail.com (V.Gopal)
> > wrote:

> > >Is the product of a^x and 1/a^x equal to unit or 1 both in physics and
> > >in mathematics? How do (a^x)*1/a^x, x*1/x and XY differ from one
> > >another (if XY=1)?

> > look what will happen if x >> infinite.
> > we get: infin. divided by zero.

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