Re: [sage-support] Fwd: [sage-release] Bug in limit?

[Sergey Kirpichev]

On Monday, November 23, 2015 at 10:38:39 PM UTC+3, Ondrej Certik wrote:
>
> Note that William's result has one more zero in the answer... Which 
> one is correct? 
>

Maxima's, of course.  btw, sympy's answer is same:
 In [3]: limit(S(2)/5*((S(3)/4)**m - 1)*(a0 - 100) + 
S(1)/5*(3*(S(3)/4)**m + 2)*a0, m, oo)
Out[3]: 40

I suspect just a typo in the William's reply.

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Re: [sage-support] Fwd: [sage-release] Bug in limit?

[Sergey Kirpichev]

On Monday, November 23, 2015 at 3:43:02 AM UTC+3, William wrote:
>
> This definitely looks like a bug.  In the meantime, a workaround is to 
> use sympy: 
>


This is not a maxima bug:

 Maxima 5.34.1 http://maxima.sourceforge.net
using Lisp GNU Common Lisp (GCL) GCL 2.6.12 (a.k.a. GCL)
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(2/5*((3/4)^m - 1)*(a0 - 100) + 1/5*(3*(3/4)^m + 2)*a0, m, 
inf);
(%o1)   40

or git version:
Maxima branch_5_37_base_186_gfa7cd4a http://maxima.sourceforge.net
using Lisp CLISP 2.49 (2010-07-07)
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(2/5*((3/4)^m - 1)*(a0 - 100) + 1/5*(3*(3/4)^m + 2)*a0, m, 
inf);
(%o1)   40

In fact, limit algorithm implementation in sympy is known to be
broken.  (Hopefuly, this is fixed there:
https://github.com/skirpichev/omg/, but this is not sympy.)

At some point, presumably sympy will be uniformly better than maxima? 
>

I think that as ex-dev of sympy I have good reasons to believe that
it's not the case..  Maxima community has less 1st year college students but
much more knowlegeable people. 

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