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arXiv · 2204.10693

Successive approximations of $\pi$ using Euler Beta functions

Jean-Christophe Pain
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Abstract

In this didactic note, we describe a procedure to derive successive approximations of $\pi$ using Euler Beta functions. It is an interesting exercise for undergraduate students, since it involves polynomial roots, integral calculations, inequalities and Euler Beta functions.

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Jean-Christophe Pain. 2022-04-21. Successive approximations of $\pi$ using Euler Beta functions. https://arxiv.org/abs/2204.10693

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