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Continued fractions and functions

  1. May 18, 2007 #1


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    for any function [tex] f(x) [/tex] how can you convert it to continued fractions in the form:

    [tex] \frac{a_{0}+a_{1}x+a_{2}x^{2}+..........}{b_{0}+b_{1}x+b_{2}x^{2}+..........} [/tex]

    where we must determine the a(n) and b(n) if [tex] f(x)=x^{1/2} [/tex] i know how to do it.
  2. jcsd
  3. May 18, 2007 #2


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    That's not actually what people usually call a continued fraction. For more on continued fractions you could refer to:

    Functions can't always be expressed in that form.

    Are you familiar with the Taylor-McLaurin series?
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