I think Dima very very confusingly actually agreed that this is a bug in
maxima that is in the newest version.

I think your options are:
  - use the sympy option, or
  - fix the bug in maxima, or
  - change what sage uses by default, or
  - wait


On Sun, Jan 22, 2017 at 12:49 PM Peleg Michaeli <freepe...@gmail.com> wrote:

> So... I couldn't really follow: should I open a new ticket, or should it
> be solved by integrating the new maxima?
>
>
> On Sunday, 22 January 2017 19:37:50 UTC+2, Dima Pasechnik wrote:
>
>
>
> On Sunday, January 22, 2017 at 4:13:53 PM UTC, William wrote:
>
> On Sun, Jan 22, 2017 at 7:14 AM, Peleg Michaeli <free...@gmail.com> wrote:
>
>
> > Hi,
>
>
> >
>
>
> > sage: ((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x)).limit(x=infinity)
>
>
> > -Infinity
>
>
> >
>
>
> > This is a wrong answer. It should be 2.
>
>
> >
>
>
> > Replacing 3/2 in the power by 1, 2, or 3 (at least) gives correct answers
>
>
> > (2, inf, inf).  Replacing it by 5/2 given a wrong answer again.
>
>
> >
>
>
> > Is this related to a known bug?
>
>
>
>
>
> I don't know if it is known - - you can try searching
>
>
> https://trac.sagemath.org/, which lists all bugs we know of.
>
>
>
>
>
> This is actually a bug in **MAXIMA**, which Sage calls to do this
>
>
> limit: http://maxima.sourceforge.net/
>
>
>
> no, it's not in Maxima 5.39.0 (see https://trac.sagemath.org/ticket/18920
> and give it a positive review :-))
> called with its default settings.
>
> $ sage --maxima
> ;;; Loading #P"/home/dima/Sage/sage-dev/local/lib/ecl/sb-bsd-sockets.fas"
> ;;; Loading #P"/home/dima/Sage/sage-dev/local/lib/ecl/sockets.fas"
> ;;; Loading #P"/home/dima/Sage/sage-dev/local/lib/ecl/defsystem.fas"
> ;;; Loading #P"/home/dima/Sage/sage-dev/local/lib/ecl/cmp.fas"
> Maxima 5.39.0 http://maxima.sourceforge.net
> using Lisp ECL 16.1.2
> Distributed under the GNU Public License. See the file COPYING.
> Dedicated to the memory of William Schelter.
> The function bug_report() provides bug reporting information.
> (%i1) limit((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x),x,inf);
> (%o1)                                  2
>
> Although calling this version of Maxima as
> sage: ((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x)).limit(x=infinity)
>
> gives -Infinity, still, as it's not called with default settings, but with
> something
> that breaks it sometimes.
>
>
>
>
> If you call sympy instead it gets the right answer:
>
>
>
>
>
> sage: ((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x)).limit(x=infinity,
>
>
> algorithm="sympy")
>
>
> 2
>
>
>
>
>
> sage: ((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x)).limit(x=infinity,
>
>
> algorithm="maxima_taylor")
>
>
> -Infinity
>
>
>
>
>
> sage: ((2^(2*x+1)+(2^x*x^100)^(3/2))/(4^x-100*2^x)).limit(x=infinity,
>
>
> algorithm="maxima")
>
>
> -Infinity
>
>
>
>
>
>
>
>
>
>
>
> >
>
>
> >
>
>
> > Thanks,
>
>
> > Peleg.
>
>
> >
>
>
> > --
>
>
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>
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>
>
>
>
>
>
>
>
>
>
> --
>
>
> William (http://wstein.org)
>
>
>
>
>
>
>
>
>
>
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