Virgil
Posts:
4,662
Registered:
1/6/11
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Re: Matheology � 162
Posted:
Nov 28, 2012 2:17 PM
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In article
<9c80c377-9a3b-48a5-8a68-61157a357544@ib4g2000vbb.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 28 Nov., 14:56, mstem...@walkabout.empros.com (Michael Stemper)
> wrote:
> > In article
> > <f6cde06f-8269-4768-a73e-9219bd020...@k6g2000vbr.googlegroups.com>, WM
> > <mueck...@rz.fh-augsburg.de> writes:
> >
> > >Matheology =A7 162
> >
> > >About limits of real sequences.
> >
> > >The limit of an infinite sequence (a_k) of real numbers a_k is
> > >determined solely by the finite terms of the sequence.
Only if those terms establish a pattern which is presumed to apply to
all terms of the sequence. Absence of any such presumable pattern
prohibits any presumption of re a limiting value.
> >
>
> Anyhow: Analysis and set theory supply different limits, namely a
> limit larger than 1 and a limit less than 1.
Because they are measuring different things!
E.g., the numerical value of a limit and the number of nonzero digits in
that limit need not be equal.
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