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Topic: Matheology � 295
Replies: 8   Last Post: Jun 28, 2013 4:43 PM

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Tucsondrew@me.com

Posts: 719
Registered: 5/24/13
Re: Matheology § 295
Posted: Jun 27, 2013 8:49 PM
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On Thursday, June 27, 2013 4:21:09 PM UTC-7, Virgil wrote:
> In article <18d7cffc-ceb1-41de-a174-9f7e2dee64bc@googlegroups.com>,
>
> mueckenh@rz.fh-augsburg.de wrote:
>
>
>

> > On Thursday, 27 June 2013 02:37:17 UTC+2, Zeit Geist wrote:
>
> > > On Wednesday, June 26, 2013 8:12:09 AM UTC-7, muec...@rz.fh-augsburg.de
>
> > > wrote: > On Tuesday, 25 June 2013 02:21:13 UTC+2, Zeit Geist wrote: > > >
>
>

> > > Let f:N\{0} U {N} --> R, such for all n e N\{0}, f(n) = 1/n, and f(N) = 1.
>
>

> > Now, in the domain of the natural numbers as take as
>
> > a sub-domain of the reals, lim f(x) as x --> oo = 0,
>
> > but f(N) ~= 0.
>
> Just another example of WM's logical and mathematical incompetence.
>



My example was simply to show that g: N\{0} --> R, with
some limit at infinity, l, can be extended to a function
such that f(N) is defined, whereas g(N) is not, and its value a ~= l.


>

ZG



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