The comparison test - Not just for nonnegative series

Michele Longo () and Vincenzo Valori
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Michele Longo: Università Cattolica del Sacro Cuore

No 2003-01, Working Papers - Mathematical Economics from Universita' degli Studi di Firenze, Dipartimento di Scienze per l'Economia e l'Impresa

Abstract: Consider the following question. Is it possible to generalize the Comparison Test to generic real series? At first glance, many (certainly the authors) could argue something like "If it were true then it certainly would be written in some of the books standing on the shelves in my room." As a matter of fact, all the books on the authors' shelves state the test only for nonnegative series. However, a straightforward generalization of this test is possible and useful to study the convergence of series for which standard tests do not apply as we show in this note.

Keywords: comparison test; real series (search for similar items in EconPapers)
Pages: 11
Date: 2003-10
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Published in: Mathematics Magazine, 79/3, 201-206, 2006

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