Abu-Mostafa, Yaser S. (1984) A Differentiation Test for Absolute Convergence. Mathematics Magazine, 57 (4). pp. 228-231. ISSN 0025-570X. doi:10.2307/2689682. https://resolver.caltech.edu/CaltechAUTHORS:20190710-151636497
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Abstract
In this note, we describe a new test which provides a necessary and sufficient condition for absolute convergence of infinite series. The test is based solely on differentiation and is very easy to apply. It also provides a pictorial illustration for absolute convergence and divergence.
| Item Type: | Article | ||||||
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| Additional Information: | © 1984 Mathematical Association of America. I should like to acknowledge Dr. Brent Smith and one of the referees for their assistance. | ||||||
| Issue or Number: | 4 | ||||||
| DOI: | 10.2307/2689682 | ||||||
| Record Number: | CaltechAUTHORS:20190710-151636497 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190710-151636497 | ||||||
| Official Citation: | Abu-Mostafa, Yaser S. “A Differentiation Test for Absolute Convergence.” Mathematics Magazine, vol. 57, no. 4, 1984, pp. 228–231. JSTOR, www.jstor.org/stable/2689682 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 97038 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 10 Jul 2019 22:28 | ||||||
| Last Modified: | 16 Nov 2021 17:25 |
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