|
|
Re: Matheology § 162
Posted:
Nov 28, 2012 8:56 AM
|
|
In article <f6cde06f-8269-4768-a73e-9219bd02002c@k6g2000vbr.googlegroups.com>, WM <mueckenh@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.
--
Michael F. Stemper
#include <Standard_Disclaimer>
A bad day sailing is better than a good day at the office.
|
|
