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Topic: Matheology � 300
Replies: 27   Last Post: Jul 9, 2013 2:50 PM

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Michael Klemm

Posts: 133
Registered: 11/13/12
Re: Matheology § 300
Posted: Jul 7, 2013 8:38 AM
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Julio Di Egidio wrote:

> Pardon the basic question, but I do not understand your result. Isn't:
> lim_{n->oo} 1/Card(N\Fison(n)) =
> = 1/Card(N\(lim_{n->oo} Fison(n))) =
> = 1/Card(N\N)=
> = 1/Card({}) =
> = 1/0
> = oo

> What am I doing wrong?

The first lim_{n->oo} refers to a sequence of naturals
and the second to a sequence of sets giving a set as
its result. Without a check it is not allowed
to draw the limit under changement of its meaning
inside the expression.


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