Use the ratio test for absolute convergence to determine whether the series converges or diverges. If the test is inconclusive, say so. 00 Σ 9k (-1)k+1_ k2 k=1

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A: Topic -Integration 

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A: This question is based on Ratio test.

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A: This question can be solved by applying the formula of 2.cosA.cosB

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A: Topic  - differentiation by parts 

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A: Let's find. 

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A: follow next step

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A: As per company guidelines we can solve first question. I hope that the given solution will help you....

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A: ∫1xlnx+xdx

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A: We shall use the limit comparison test to answer this question.

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