Successive approximations of $\pi$ using Euler Beta functions
History and Overview
2022-04-25 v1 Number Theory
Abstract
In this didactic note, we describe a procedure to derive successive approximations of using Euler Beta functions. It is an interesting exercise for undergraduate students, since it involves polynomial roots, integral calculations, inequalities and Euler Beta functions.
Cite
@article{arxiv.2204.10693,
title = {Successive approximations of $\pi$ using Euler Beta functions},
author = {Jean-Christophe Pain},
journal= {arXiv preprint arXiv:2204.10693},
year = {2022}
}