Abstract
If a series is absolutely convergent, then the sum is independent of the order in which terms are summed. A conditionally convergent series can be made to converge to any number (or even diverge) by suitable rearranging the order of the terms.
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References
All formulas are standard and are usually found in calculus texts, e.g. Edwards and Penney (1998). For results about binomial coefficients, see a book on probability theory, or e.g. Graham, Knuth, and Patashnik (1989).
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© 2010 Springer-Verlag Berlin Heidelberg
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Sydsæter, K., Strøm, A., Berck, P. (2010). Series. Taylor’s formula. In: Economists’ Mathematical Manual. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-28518-2_8
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DOI: https://doi.org/10.1007/978-3-540-28518-2_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26088-2
Online ISBN: 978-3-540-28518-2
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