Re: opponents of taylor and l'hospital ?
- From: Bill Dubuque <wgd@xxxxxxxxxxxxxxxxxxxx>
- Date: 06 May 2008 16:31:11 -0400
amy666 <tommy1729@xxxxxxxxxxx> wrote:
some while ago when talking about limits , i used l'hospitals rule
or taylor series. i was then told by certain people that they dont
like l'hospitals rule nor taylor series. they said l'hospitals rule
was overrated ! can those people plz explain what is it that makes
them opponents of l'hospital rule and taylor series ??
i dont see a downside of l'hospitals rule ? and i was quite amazed
to read that on a mathforum from even relative regular posters.
There is in fact an _algorithm_ for evaluating limits of a wide class
of elementary functions that I discovered around 1980. In a rough
sense the algorithm works by computing certain generalized power
series expansions (or initial terms thereof), so it may be viewed
as an amalgam of applying taylor series and L'Hospital's rule. More
precisely it works by computing higher-rank valuations in certain
(Hardy-Rosenlicht) differential fields. There are probably only
a handful of mathematicians familiar with such techniques, so one
can safely say that almost all responses you receive here will
not be well-informed. See my prior post [1] and its links for
some nontrivial examples and further remarks.
--Bill Dubuque
[1] http://google.com/groups?selm=y8zk7js12ba.fsf%40nestle.ai.mit.edu
.
- References:
- opponents of taylor and l'hospital ?
- From: amy666
- opponents of taylor and l'hospital ?
- Prev by Date: Re: Number with Table of the Common Logarithm.
- Next by Date: Re: Proof #2
- Previous by thread: Re: opponents of taylor and l'hospital ?
- Next by thread: Isomorphism of quotient ring
- Index(es):
Relevant Pages
|
Loading
