[FOM] Can someone give me an example of...
Adam Kolany
dr.a.kolany at wp.pl
Fri Feb 17 02:13:54 EST 2006
Andrej Bauer napisał(a):
>On Friday 17 February 2006 00:24, Giovanni Lagnese wrote:
>
>
>>Andrej Bauer wrote:
>>
>>
>>>it is non-Cauchy in a strong sense: for every epsilon > 0 and k
>>>there is m such that |a_k - a_n| > epsilon for all n > m.
>>>
>>>
>>It seems impossible that we can take epsilon > 1.
>>
>>
>
>Oops, got my quantifiers all mixed up. That should have been: for every k
>there are epsilon > 0 and m such that |a_k - a_n| > epsilon for all n > m.
>
>Andrej
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a_n=n ?
then for a given k take m=1 and epsilon=1.
--
Adam Kolany, http://akolany.pm.katowice.pl, gg. 1797933
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