Rational exponentials and continued fractions

Author: Denny, J. K. Denny

Source: The College Mathematics Journal, Volume 43, Number 5, November 2012 , pp. 405-407(3)

Publisher: Mathematical Association of America

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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: 2012-11-01

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The College Mathematics Journal is designed to enhance classroom learning and stimulate thinking regarding undergraduate mathematics. CMJ publishes articles, short Classroom Capsules, problems, solutions, media reviews and other pieces. All are aimed at the college mathematics curriculum with emphasis on topics taught in the first two years.
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