Re: Taylor series expansion about x=0 (MacLaurin series)
On Wed, Sep 13, 2000 at 02:18:47PM +0200, wrote:
> Does anyone know of a Debian package with which I could make Taylor
> series expansion of simple functions?
I don't know of a free package which works as well as comercial Computer
Algebra packages, namely Maple or Mathematica. Both are available for
reasonable prices to students.
> I've tested Derive 3.0 (february 1995) for MSDOS, but it finishes the
> whole memory when trying to obtain the first four terms about x=0 of
>
> sqrt(x^6/36+(1+x/2-x/(1-exp(-x)))^2)*(12/x^2)
>
> I have obtained manually that it should be 1+119*x^2/60-991*x^4/504, but
> I would like it to be confirmed by a computer program.
>
> Thanks!
Throwing your example into Maple on my workstation gives the following
> taylor(sqrt(x^6/36+(1+x/2-x/(1-exp(-x)))^2)*(12/x^2),x=0,20);
119 2 991 4 78619 6 964750751 8 14625286254829 10
1 + --- x - --- x + ----- x - --------- x + -------------- x
60 504 20160 99792000 544864320000
435073871533201 12 12908073421532788523 14 16
- --------------- x + -------------------- x + O(x )
5448643200000 51871083264000000
John
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