Properties Continued Fraction

By Kardi Teknomo, PhD .

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Properties

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 where (the term is natural numbers ) always converges (this is based on Van Vleck's Theorem)
4. Any periodic continued fraction with (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. http://people.revoledu.com/kardi/tutorial/ContinuedFraction/index.html