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

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Virgil

Posts: 8,833
Registered: 1/6/11
Re: Matheology � 300
Posted: Jul 7, 2013 4:11 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article <krbje3$j2p$1@dont-email.me>,
"Julio Di Egidio" <julio@diegidio.name> wrote:

> "Michael Klemm" <m_f_klemm@t-online.de> wrote in message
> news:krb4m5$ftr$1@solani.org...

> > WM wrote:
> >

> >> ... except in matheology where the sequence 1/Card(|N\FIS(n)) is 0 for
> >> every n but has limit oo.

> >
> > No. lim_{n-->oo} 1/Card(|N\FIS(n)) = lim_{n-->oo} 1/oo = lim_{n-->oo} 0
> > = 0.

>
> 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?
>
> Julio
>


You are assuming, wrongly, that one must have for any functions f and g
that f(lim_{n->oo} g(n) ) = lim_{n->oo} f(g(n))
--





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