Does the series below converge absolutely, converge conditionally, or diverge? G

Question

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

Explanation / Answer

C )lim as n approaches infinity is 1 (use L'Hospital's rule to show) it so it diverges since limit must be 0 for series to converge.

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