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Does the series ∑n = 1∞(−1)nn+n+2 converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is not less than or equal to 1. B. The series diverges because the limit used in the nth-Term Test does not exist. C. The series converges conditionally per the Alternating Series Test and the Integral Test because ∫1∞f(x)dx does not exist. D. The series converges absolutely because the limit used in the Root Test is E. The series diverges per the Comparison Test with ∑1∞1 n. F. The series converges absolutely because the limit used in the Ratio Test is

Does the series ∑n = 1∞(−1)nn+n+2 converge absolutely, converge conditionally, or diverge? Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is not less than or equal to 1. B. The series diverges because the limit used in the nth-Term Test does not exist. C. The series converges conditionally per the Alternating Series Test and the Integral Test because ∫1∞f(x)dx does not exist. D. The series converges absolutely because the limit used in the Root Test is E. The series diverges per the Comparison Test with ∑1∞1 n. F. The series converges absolutely because the limit used in the Ratio Test is

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Does the series ∑ n = 1 ∞ ( − 1 ) n n + n + 2 converge absolutely, converge conditionally, or diverge?
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. A. The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is not less than or equal to 1. B. The series diverges because the limit used in the nth-Term Test does not exist. C. The series converges conditionally per the Alternating Series Test and the Integral Test because ∫ 1 ∞ f ( x ) d x does not exist. D. The series converges absolutely because the limit used in the Root Test is ◻ E. The series diverges per the Comparison Test with ∑ 1 ∞ 1 n . F. The series converges absolutely because the limit used in the Ratio Test is ◻

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