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The comparison test - Not just for nonnegative series

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Author Info

  • Michele Longo

    () (Università Cattolica del Sacro Cuore)

  • Vincenzo Valori

    () (Dipartimento di Matematica per le Decisioni - Università degli Studi di Firenze)

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.

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File URL: http://www.dmd.unifi.it/RePEc/flo/WorkingPapers/2003/DiMaDWP2003-01.pdf
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Bibliographic Info

Paper provided by Dipartimento di Matematica per le Decisioni, Universita' degli Studi di Firenze in its series DiMaD Working Papers with number 2003-01.

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Length: 11
Date of creation: Oct 2003
Date of revision:
Publication status: Published in: Mathematics Magazine, 79/3, 201-206, 2006
Handle: RePEc:flo:wpaper:2003-01

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Related research

Keywords: comparison test; real series;

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