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How to solve equations using continued fractions?

  1. Jun 17, 2012 #1
    Is it possible to solve any equation if we use continued fractions? I've heard that polynomial equations could be solved using continued fractions, and I used to obtain one of the several roots of a polynomial equation of low degrees using continued fractions in high school, but I read somewhere that continued fractions could be employed to find rapid converging sequences to the roots of an equation and I guess I even read somewhere that they could be used to solve differential equations!!!

    Could someone inform me about the use of continued fractions to solve equations please? Thanks in advance.
  2. jcsd
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