#17428: wrong limit in derivative
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Reporter: wonder | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.5
Component: symbolics | Resolution:
Keywords: derivative limit | Merged in:
Authors: | Reviewers:
Report Upstream: Not yet reported upstream; | Work issues:
Will do shortly. | Commit:
Branch: | Stopgaps:
Dependencies: |
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Changes (by pbruin):
* cc: kcrisman, nbruin (added)
* keywords: => derivative limit
* component: PLEASE CHANGE => symbolics
* type: PLEASE CHANGE => defect
* upstream: N/A => Not yet reported upstream; Will do shortly.
Comment:
The same happens in Maxima:
{{{
Maxima 5.34.1 http://maxima.sourceforge.net
using Lisp ECL 13.5.1
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) e: a*f(x) + g(x);
(%o1) g(x) + a f(x)
(%i2) limit(e, x, 0);
(%o2) limit (g(x) + a f(x))
x -> 0
(%i3) limit(limit(e, x, 0), a, 0);
(%o3) limit g(x)
x -> 0
(%i4) de: diff(e, x);
d d
(%o4) -- (g(x)) + a (-- (f(x)))
dx dx
(%i5) limit(de, x, 0);
d d
(%o5) limit (-- (g(x)) + a (-- (f(x))))
x -> 0 dx dx
(%i6) limit(limit(de, x, 0), a, 0);
d
(%o6) -- (g(x))
dx
}}}
Possibly related: #7401
--
Ticket URL: <http://trac.sagemath.org/ticket/17428#comment:2>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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