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Ratio and Root Tests

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## Ratio and Root Tests

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**Ratio and Root Tests**• Thm.Ratio Test • Let Ʃan be a series with nonzero terms. • If , the series is abs. convergent. • If , the series is divergent. • If , then the test fails.**Thm.Root Test**• Let Ʃan be a series. • If , the series is abs. conv. • If , the series is divergent. • If , then the test fails.