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.
The comparison test - Not just for nonnegative series / M. Longo; V. Valori. - In: MATHEMATICS MAGAZINE. - ISSN 0025-570X. - STAMPA. - 79(3):(2006), pp. 201-206.
The comparison test - Not just for nonnegative series
VALORI, VINCENZO
2006
Abstract
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.File | Dimensione | Formato | |
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