#13221: Limit should not depend on dummy variable.
----------------------------+-----------------------------------------------
       Reporter:  kcrisman  |         Owner:  burcin  
           Type:  defect    |        Status:  new     
       Priority:  minor     |     Milestone:  sage-5.4
      Component:  calculus  |    Resolution:          
       Keywords:            |   Work issues:          
Report Upstream:  N/A       |     Reviewers:          
        Authors:            |     Merged in:          
   Dependencies:            |      Stopgaps:          
----------------------------+-----------------------------------------------
Description changed by kcrisman:

Old description:

> See #12438 as well.
>
> Somewhere between Sage 4.4.4 and 4.8 we changed behavior - not correctly,
> I'd say.
> {{{
>
> $ Downloads/sage-4.8/sage
> ----------------------------------------------------------------------
> | Sage Version 4.8, Release Date: 2012-01-20                         |
> | Type notebook() for the GUI, and license() for information.        |
> ----------------------------------------------------------------------
> sage: f(x) = x^2
> sage: limit(f,x=1)
> x |--> 1
> sage: limit(f(x),x=1)
> 1
> sage:
> Exiting Sage (CPU time 0m1.15s, Wall time 0m10.57s).
> karl-dieter-crismans-powerbook-g4-15:~ karl-dietercrisman$
> Desktop/sage-4.4.4-mcbc/sage
> ----------------------------------------------------------------------
> | Sage Version 4.4.4, Release Date: 2010-06-23                       |
> | Type notebook() for the GUI, and license() for information.        |
> ----------------------------------------------------------------------
> Loading Sage library. Current Mercurial branch is: hackbranch
> sage: f(x) = x^2
> sage: limit(f,x=1)
> 1
> sage: limit(f(x),x=1)
> 1
> }}}

New description:

 See #12438 as well.

 Somewhere between Sage 4.4.4 and 4.8 we changed behavior - not correctly,
 I'd say.
 {{{
 $ Downloads/sage-4.8/sage
 ----------------------------------------------------------------------
 | Sage Version 4.8, Release Date: 2012-01-20                         |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 sage: f(x) = x^2
 sage: limit(f,x=1)
 x |--> 1
 sage: limit(f(x),x=1)
 1
 sage:
 Exiting Sage (CPU time 0m1.15s, Wall time 0m10.57s).
 $ Desktop/sage-4.4.4-mcbc/sage
 ----------------------------------------------------------------------
 | Sage Version 4.4.4, Release Date: 2010-06-23                       |
 | Type notebook() for the GUI, and license() for information.        |
 ----------------------------------------------------------------------
 Loading Sage library. Current Mercurial branch is: hackbranch
 sage: f(x) = x^2
 sage: limit(f,x=1)
 1
 sage: limit(f(x),x=1)
 1
 }}}

--

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13221#comment:2>
Sage <http://www.sagemath.org>
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