In article <firstname.lastname@example.org>, WM <email@example.com> 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. --