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A remarkable formula for approximating the sum of alternating series
Published online by Cambridge University Press: 01 August 2016
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In this paper we present a simple formula that can often be used to assist in the approximation of the sum of an alternating series
The ideas presented here were motivated by translating Euler's papers [1] and [2]. Suppose we begin by summing a terms of this series exactly, then the approximation that we will obtain is given by
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