Rational exponentials and continued fractions

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Abstract:

Using continued fraction expansions, we can approximate constants, such as π and e, using an appropriate integer n raised to the power x 1/x , x a suitable rational. We review continued fractions and give an algorithm for producing these approximations.

Document Type: Regular Paper

DOI: http://dx.doi.org/10.4169/college.math.j.43.5.405

Publication date: November 1, 2012

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