By Kardi Teknomo, PhD .

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The following are the properties of Continued fraction:

  1. Finite continued fraction will always produce rational numbers
  2. Infinite continued fraction may be used to approximate irrational numbers
  3. Any regular continued fraction Continued Fraction where Continued Fraction (the term is natural numbers Continued Fraction ) always converges (this is based on Van Vleck's Theorem)
  4. Any periodic continued fraction Continued Fraction with Continued Fraction (the term is positive real numbers) always converges (this is also based on Van Vleck's Theorem)

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This tutorial is copyrighted .

Preferable reference for this tutorial is

Teknomo, Kardi (2015) Continued Fraction.