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Topic: Matheology � 258
Replies: 53   Last Post: May 11, 2013 10:07 PM

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 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology 258
Posted: May 9, 2013 3:36 PM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> > WM <mueck...@rz.fh-augsburg.de> wrote:
> > For all n: f(n) = 1 , lim_n-->oo f(n) = 1
> > This is required for correctly calculating differential quotients in
> > analysis. (Just this morning I explained that in class.)

How is
"For all n: f(n) = 1 , lim_n-->oo f(n) = 1"
needed to calculate the differential quotient of f(x) = e^x at x = pi?

It can ONLY be of any use in correctly calculating differential
quotients in the rare cases in which the difference quotients at a point
are all equal regardless of the differences in x.

I.e., when the delta-y over delta-x ratio is constant, as in linear
functions.

So apparently WM never gets anywhere beyond the derivatives of linear
functions. About what one might expect from WM.
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