Step 1:

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The series is \"\".

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Ratio test :

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(i) If \"\", then the series \"\" is absolutely convergent.

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(ii) If \"\"or \"\" , then the series \"\" is divergent.

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(iii) If \"\", then the ratio test is inconclusive.

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Here  \"\" and \"\".

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Find \"\".

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\"\"

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If \"\", then \"\".

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\"\".

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Hence, by the ratio test, the series \"\" is divergent.

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Solution:

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The series \"\" is divergent.