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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محفوظ في:
التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Arca, Hannah Lianne J., Favila, Marie Belarmine R.
التنسيق: text
اللغة:English
منشور في: Animo Repository 2001
الوصول للمادة أونلاين:https://animorepository.dlsu.edu.ph/etd_bachelors/17155
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الملخص: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.