convergence test and sum of series

May 9th, 2015
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This is about to check the series is converge absolutely or conditionally These are four series with solution.

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HereRatio test:Hence ratio test fails.Root test:Hence root test fails.Now second root testwhich is less than 1. Hence series converges.HereTaking root testHence series diverges.HereTaking root test:Hence series converges.HereTaking root test:Hence the series converges.

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