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How to do Continued fraction of polynomials


How can we do a continued fraction expansion in Mathematica.

   Suppose we have
             x^3 + 2x
             ------------
              x^2 + 1

and we want:

     x  +       1
             -------------
              x   +    1
                        ----
                          x

     Can we get this by using some function or some technique in Mathematica??

Regards,

-- 
Milind Gupta
Graduate Student
University of Southern California
milind.gupta at usc.edu
http://www-scf.usc.edu/~milindgu/


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