Approximating the arctangent function and the natural logarithmic function via recursive algorithms

This paper is an exposition of the article A Convergence of Limits by Richard J. Bagby in the Mathematics Magazine (Vol. 71, pp. 270-277, 1998). It shows us the similarity in the algorithms of the arctangent function and the natural logarithmic function. It explains the general theory that presents...

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Bibliographic Details
Main Authors: Arca, Hannah Lianne J., Favila, Marie Belarmine R.
Format: text
Language:English
Published: Animo Repository 2001
Online Access:https://animorepository.dlsu.edu.ph/etd_bachelors/17155
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Institution: De La Salle University
Language: English
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Summary:This paper is an exposition of the article A Convergence of Limits by Richard J. Bagby in the Mathematics Magazine (Vol. 71, pp. 270-277, 1998). It shows us the similarity in the algorithms of the arctangent function and the natural logarithmic function. It explains the general theory that presents the relationship between the said functions. Furthermore, some examples are provided in order to have a better understanding of the given theorem.