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Topic: Matheology § 162
Replies: 78   Last Post: Dec 10, 2012 4:46 AM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 162
Posted: Nov 25, 2012 6:56 PM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> Matheology § 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. Otherwise, the
> limit would not have to be *computed* but would have to be *created*.
> Analysis is concerned with analyzing, i.e., with finding.
>
> To give an example, we can state with absolute certainty that in the
> real numbers the sequence
> 0.1, 0.11, 0.111, ...
> has the limit 0.111... = 1/9.

Unless we are give some assurance that the pattern that most of us see
is the intended one, such as by formula, no one can state "THE" limit,
as no such limit exists.

> That is independent of the method which is used to analyze the
> sequence.

WRONG AGAIN!

WM claims to be able to analyze a single sequence and, depending on
which of two methods he uses, derive two quite different limits.

But of course, he is, as usual, working exclusively in Wolkenmuekenheim,
to which no one sane has access.
--

Date Subject Author
11/25/12 mueckenh@rz.fh-augsburg.de
11/25/12 Roland Franzius
11/25/12 namducnguyen
11/26/12 mueckenh@rz.fh-augsburg.de
11/26/12 Virgil
11/25/12 Virgil
11/26/12 mueckenh@rz.fh-augsburg.de
11/26/12 Virgil
11/26/12 mueckenh@rz.fh-augsburg.de
11/26/12 Virgil
11/26/12 YBM
11/26/12 mueckenh@rz.fh-augsburg.de
11/26/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Carsten Schultz
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Carsten Schultz
11/27/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/28/12 Carsten Schultz
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Virgil
11/27/12 Virgil
11/27/12 William Hughes
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 William Hughes
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 William Hughes
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/27/12 William Hughes
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/28/12 William Hughes
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 William Hughes
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Michael Stemper
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Michael Stemper
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Michael Stemper
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 YBM
11/29/12 trj
11/29/12 Virgil
11/30/12 mueckenh@rz.fh-augsburg.de
11/30/12 Virgil
12/1/12 mueckenh@rz.fh-augsburg.de
12/1/12 Virgil
11/29/12 Virgil
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11/28/12 Virgil
11/28/12 Virgil
12/10/12 veronika kočková
11/27/12 Virgil
11/27/12 YBM
11/27/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/27/12 Virgil
11/27/12 mueckenh@rz.fh-augsburg.de
11/27/12 Virgil
11/28/12 Michael Stemper
11/28/12 mueckenh@rz.fh-augsburg.de
11/28/12 Virgil
11/29/12 mueckenh@rz.fh-augsburg.de
11/29/12 Virgil