Abstract
Finding closed form formulas for sums of infinite series is of use and interest in many disciplines. Standard methods often involve special tricks for special series. The purpose of this article is to present a unified method to sum a large variety of infinite series, including complicated iterated series. The unification comes through the use of two probabilistic identities, resulting in exact integral representations for the various series and hence a closed form formula. Due to the large variety of series, including iterated series, for which exact formulas are produced, the results may also have some reference and instructional value.
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