## Properties

The following are the properties of Continued fraction:

- Finite continued fraction will always produce rational numbers
- Infinite continued fraction may be used to approximate irrational numbers
- Any regular continued fraction where (the term is natural numbers ) always converges (this is based on Van Vleck's Theorem)
- 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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Preferable reference for this tutorial is
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Teknomo, Kardi (2015) Continued Fraction. http://people.revoledu.com/kardi/tutorial/ContinuedFraction/index.html