Continued Fraction Approximations

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Any real number can be expanded in a continued fraction. Truncating the regular continued fraction after terms gives a rational number. This Demonstration shows the differences between function values and regular continued fraction approximations of truncated to terms.

Contributed by: Michael Trott (March 2011)
Open content licensed under CC BY-NC-SA


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Details

function — the function to display continued fraction terms — the number of terms in the continued fraction approximation



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