Date: Nov 18, 2012 7:14 PM
Author: Vurgil
Subject: Re: Matheology � 152

In article 
<e5d33c50-6d57-48c9-a54f-c291589115be@o8g2000yqh.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 18 Nov., 18:45, William Hughes <wpihug...@gmail.com> wrote:
> > On Nov 18, 7:13 am, WM <mueck...@rz.fh-augsburg.de> wrote:
> >

> > > On 17 Nov., 23:08, William Hughes <wpihug...@gmail.com> wrote:
> >
> > > > On Nov 17, 5:23 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> >
> > > > > On 17 Nov., 21:21, William Hughes <wpihug...@gmail.com> wrote:
> >
> > > > > > (nor is there a problem that WM two limits are different)-
> >
> > > > > Interesting. A nice claim.
> > > > > The limit of a sequence may depend on the method which is used to
> > > > > calculate it?

> >
> > > > Nope, but it does depend on which limit is used.
> >
> > > The Cauchy-limit or the Cantor-limit?
> >
> > Niether.
> >
> > The fact  that in Wolkenmuekenheim the two limits
> > are assumed to be the same does
> > not mean that you are using the same limit both times.

>
> Is it correct in mathematics to claim:
> 1/((((((10^0)/10)+10^1)/10)+10^2)/10)+Š = 0 ?
> And is it also correcr to claim
> 1/((((((10^0)/10)+10^1)/10)+10^2)/10)+Š > 1 ?
> Is it is therefore correct to claim 0 > 1?
>
> Or can you give some guidelines for beginners, when and why which of
> the limits has to be applied?
>

I see no reason to suppose that the expression is well enough defined to
have anything like a unique limit.
If it is expressible as the limit of a sequence at all, then show us
the terms of such a sequence.