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

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mueckenh@rz.fh-augsburg.de

Posts: 14,727
Registered: 1/29/05
Re: Matheology § 162
Posted: Nov 28, 2012 10:01 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

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.

>
> That is correct. Since the a_k are chosen from the real numbers, and since
> all real numbers are finite, all of the a_k are finite, and the sequence
> has no infinite terms.
>
> Now, depending upon the nature of the sequence, the terms may increase
> without limit, which is one way of having a real sequence that has no
> well-defined limit. That doesn't change the fact that each and every
> term is still finite.


Anyhow: Analysis and set theory supply different limits, namely a
limit larger than 1 and a limit less than 1. That's the point.

Regards, WM


Date Subject Author
11/25/12
Read Matheology § 162
mueckenh@rz.fh-augsburg.de
11/25/12
Read Re: Matheology § 162
Roland Franzius
11/25/12
Read Re: Matheology § 162
namducnguyen
11/26/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/26/12
Read Re: Matheology � 162
Virgil
11/25/12
Read Re: Matheology � 162
Virgil
11/26/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/26/12
Read Re: Matheology � 162
Virgil
11/26/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/26/12
Read Re: Matheology � 162
Virgil
11/26/12
Read Re: Matheology § 162
YBM
11/26/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/26/12
Read Re: Matheology � 162
Virgil
11/27/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/27/12
Read Re: Matheology � 162
Virgil
11/27/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/27/12
Read Re: Matheology § 162
Carsten Schultz
11/27/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/27/12
Read Re: Matheology § 162
Carsten Schultz
11/27/12
Read Re: Matheology § 162
Virgil
11/27/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/27/12
Read Re: Matheology � 162
Virgil
11/28/12
Read Re: Matheology § 162
Carsten Schultz
11/29/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/29/12
Read Re: Matheology � 162
Virgil
11/27/12
Read Re: Matheology � 162
Virgil
11/27/12
Read Re: Matheology § 162
William Hughes
11/27/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/27/12
Read Re: Matheology § 162
William Hughes
11/27/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/27/12
Read Re: Matheology § 162
William Hughes
11/27/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/27/12
Read Re: Matheology � 162
Virgil
11/28/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/28/12
Read Re: Matheology � 162
Virgil
11/28/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/28/12
Read Re: Matheology � 162
Virgil
11/27/12
Read Re: Matheology § 162
William Hughes
11/28/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/28/12
Read Re: Matheology � 162
Virgil
11/28/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/28/12
Read Re: Matheology � 162
Virgil
11/28/12
Read Re: Matheology § 162
William Hughes
11/28/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/28/12
Read Re: Matheology § 162
William Hughes
11/28/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/28/12
Read Re: Re: Matheology § 162
Michael Stemper
11/29/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/29/12
Read Re: Re: Matheology § 162
Michael Stemper
11/29/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/29/12
Read Re: Re: Matheology § 162
Michael Stemper
11/29/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/29/12
Read Re: Matheology § 162
YBM
11/29/12
Read Re: Matheology § 162
trj
11/29/12
Read Re: Matheology � 162
Virgil
11/30/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/30/12
Read Re: Matheology � 162
Virgil
12/1/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
12/1/12
Read Re: Matheology � 162
Virgil
11/29/12
Read Re: Matheology � 162
Virgil
11/29/12
Read Re: Matheology � 162
Virgil
11/28/12
Read Re: Matheology � 162
Virgil
11/28/12
Read Re: Matheology � 162
Virgil
12/10/12
Read Re: Matheology S 162
veronika kočková
11/27/12
Read Re: Matheology � 162
Virgil
11/27/12
Read Re: Matheology § 162
YBM
11/27/12
Read Re: Matheology � 162
Virgil
11/27/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/27/12
Read Re: Matheology � 162
Virgil
11/28/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/28/12
Read Re: Matheology � 162
Virgil
11/27/12
Read Re: Matheology � 162
Virgil
11/27/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/27/12
Read Re: Matheology � 162
Virgil
11/28/12
Read Re: Matheology § 162
Michael Stemper
11/28/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/28/12
Read Re: Matheology � 162
Virgil
11/29/12
Read Re: Matheology § 162
mueckenh@rz.fh-augsburg.de
11/29/12
Read Re: Matheology � 162
Virgil

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