A proof of the Gregory-Leibniz series and new series for calculating pi

Details A proof of the Gregory-Leibniz series and new series for calculating pi A proof of the Gregory-Leibniz series and new series for calculating pi

2009-09-08

arxiv.org/abs/0909.1523v1

Mathematics

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4 pages 4 pages. A paper suitable for undergraduates with a flair for analysis. A non-traditional proof of the Gregory-Leibniz

Scientific paper

A non-traditional proof of the Gregory-Leibniz series, based on the
relationships among the zeta function, Bernoulli coefficients, and the Laurent
expansion of the cotangent is given. New series for calculating pi are
obtained.

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