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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 8,533 of 10,432   
   D Herring to Richard Fateman   
   Re: should CAS resturn infinity for dive   
   17 Mar 14 23:13:01   
   
   From: dherring@at.tentpost.dot.com   
      
   On 03/17/2014 08:05 PM, Richard Fateman wrote:   
   > A more interesting question is: should the limit(cos(x)) as x->   
   > infinity should be defined as an interval  [-1,1] ?   
   >   
   > which is sort of what I got from Maple and Mathematica.   
   > Or undefined.  Or indefinite.   
      
   Well, the integral doesn't converge, and it always oscillates at the   
   same period.  So neither a point value nor an interval accurately   
   tells the story in all cases...   
      
      
   > Actually the meaning of "infinity" is ambiguous -- which direction?   
   > All? Any?  positive real infinity.   
      
   Complex.  On the Riemann sphere.  :)   
      
   - Daniel   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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