A note on Cauchy's root test
| Autor: | I. S. Murphy |
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| Rok vydání: | 1976 |
| Předmět: | |
| Zdroj: | Glasgow Mathematical Journal. 17:151-154 |
| ISSN: | 1469-509X 0017-0895 |
| DOI: | 10.1017/s0017089500002883 |
| Popis: | Throughout this note we deal with a series Σan of positive terms. The following tests for the convergence of this series are well-known.Test 1. (Ratio test). LetThen, if K < 1, Σanconverges, while if K > 1, Σandiverges.Test 2. (Root test). LetThen, if K < 1, Σanconverges, while if K > 1, Σandiverges. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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