#4142: limit bug: should be -Infinity, but gives +Infinity
----------------------+-----------------------------------------------------
 Reporter:  ddrake    |       Owner:  burcin    
     Type:  defect    |      Status:  new       
 Priority:  major     |   Milestone:  sage-3.1.3
Component:  calculus  |    Keywords:            
----------------------+-----------------------------------------------------
 As discussed in http://groups.google.com/group/sage-
 devel/browse_thread/thread/7afc9f414413906 , some limits are not evaluated
 correctly:

 {{{
 sage: f = sqrt(1-x^2)
 sage: g = diff(f, x); g
 -x/sqrt(1 - x^2)
 sage: limit(g, x=1, dir='below')
 +Infinity
 }}}

 The last command should give -Infinity, of course, since `f` is a
 semicircle. At the other endpoint, the limit is correct (+Infinity).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/4142>
SAGE <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel
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