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 conditionally per the comparison test and the alternating series test. The series converges conditionally per the root test and the alternating series test. The series diverges per the nth-term test for divergence and the ratio test The series diverges per the nth-term test for divergence. The series converges absolutely per the root test The series converges absolutely per nth-term test for divergence

Explanation / Answer

nth term= (-1)^n * (n+3)^n / (3n)^n
= {(-n-3)/3n}^n
={(-1/3 - 1/n)}^n
lim(n->) = (-1/3)^ = 0

therefore series converges.

therefore, d ans.

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