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.
4 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