A convergence-divergence test for series of nonnegative terms (Q654962)
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scientific article; zbMATH DE number 5992159
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A convergence-divergence test for series of nonnegative terms |
scientific article; zbMATH DE number 5992159 |
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A convergence-divergence test for series of nonnegative terms (English)
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28 December 2011
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The authors present a new convergence-divergence test for series of nonnegative terms. The proof is elegant and short and the result can be used to decide about divergence or convergence for example for the apparently difficult series \(\sum_{n=1}^{\infty }n^{-2-\cos n}\) or \( \sum_{n=1}^{\infty }n^{-1}((2+\cos n)/3)^{n}\).
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convergence tests for series
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generalized Cauchy condensation
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Liouville number
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