#8943: RuntimeError with series
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   Reporter:  casamayou            |          Owner:  burcin                    
      
       Type:  enhancement          |         Status:  positive_review           
      
   Priority:  minor                |      Milestone:  sage-4.7                  
      
  Component:  calculus             |       Keywords:  series, taylor            
      
Work_issues:                       |       Upstream:  N/A                       
      
   Reviewer:  Karl-Dieter Crisman  |         Author:  Alexei Sheplyakov, Burcin 
Erocal
     Merged:                       |   Dependencies:  11317                     
      
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Changes (by kcrisman):

  * status:  needs_review => positive_review
  * reviewer:  => Karl-Dieter Crisman


Comment:

 This is nice, and the other examples given by the author also did not work
 before but now do:
 {{{
 sage: (cos(x)^(sin(x)/x)).series(x==0,9)
 1 + (-1/2)*x^2 + 1/8*x^4 + (-1/30)*x^6 + 631/120960*x^8 + Order(x^9)
 sage: ((1+x)^(1/x)).series(x==0,9)
 (e) + (-1/2*e)*x + (11/24*e)*x^2 + (-7/16*e)*x^3 + (2447/5760*e)*x^4 +
 (-959/2304*e)*x^5 + (238043/580608*e)*x^6 + (-67223/165888*e)*x^7 +
 (559440199/1393459200*e)*x^8 + Order(x^9)
 }}}

 Also, the new series does correctly approximate the original function near
 x=0 :)

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/8943#comment:5>
Sage <http://www.sagemath.org>
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