Please give Explanations...Thanks! Does the series below converge absolutely, co

Question

Please give Explanations...Thanks!

Does the series below converge absolutely, converge conditionally; or diverge? Give a reason for your answer. Choose the correct answer below. The series converges conditionally per the root test and the alternating series test. The series converges conditionally per the comparison test and the alternating series test. The series diverges per the nth-term test for divergence and the ratio test. The series converges absolutely per the comparison test. The series diverges per the nth-term test for divergence. The series converges absolutely per nth-term test for divergence.

Explanation / Answer

The test to use here is the limit comparison test with 1/n2 .

The series converges absolutely per the comparison test: which is choice D.

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