A proof of the Gregory-Leibniz series and new series for calculating pi
arXiv:0909.1523
Abstract
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.
arXiv comment4 pages 4 pages. A paper suitable for undergraduates with a flair for analysis. A non-traditional proof of the Gregory-Leibniz series and new series for pi are given