#17428: wrong limit in derivative
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   Reporter:  wonder         |            Owner:
       Type:  PLEASE CHANGE  |           Status:  new
   Priority:  major          |        Milestone:  sage-6.5
  Component:  PLEASE CHANGE  |         Keywords:
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 I'm seeing this behavior in sage 6.4, just built from git:

 {{{
 $ ./sage
 ┌────────────────────────────────────────────────────────────────────┐
 │ Sage Version 6.4, Release Date: 2014-11-14 │
 │ Type "notebook()" for the browser-based notebook interface. │
 │ Type "help()" for help. │
 └────────────────────────────────────────────────────────────────────┘
 sage: e = SR('a*f(x)+g(x)')
 sage: e
 a*f(x) + g(x)
 sage: e.limit(x=0)
 limit(a*f(x) + g(x), x, 0)
 sage: e.limit(x=0).limit(a=0)
 limit(g(x), x, 0)
 sage: de = diff(e,SR('x'))
 sage: de
 a*D[0](f)(x) + D[0](g)(x)
 sage: de.limit(x=0)
 limit(a*D[0](f)(x) + D[0](g)(x), x, 0)
 sage: de.limit(x=0).limit(a=0)
 D[0](g)(x)
 }}}
 The last result should be `limit(D[0](g)(x), x, 0)`.

 For reference, this report was also
 [https://groups.google.com/forum/#!topic/sage-devel/9NcuLzIUNXY posted to
 sage-devel].

--
Ticket URL: <http://trac.sagemath.org/ticket/17428>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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