2. Does the series converge absolutely, converge conditionally, or diverge? 2 Ch

Question

2. Does the series converge absolutely, converge conditionally, or diverge? 2 Choose the correct answer below and, if necessary, fill in the answer box to complete your choice. O A. The series diverges because the limit used in the nth-Term Test does not exist. OB. ° C. The series converges absolutely per the Comparison Test with O D. The series converges absolutely because the limit used in the Root Test is O E. OF. The series diverges per the Comparison Test with The series converges conditionally per the Alternating Series Test and because the limit used in the Root Test is 2 2 The series converges conditionally per the Alternating Series Test and because the limit used in the Ratio Test is

Explanation / Answer

Let's assume given series is an and take bn as 1/n^2 sum:{n=1}^{infty}{1}/{n^2} is converges so an also converges conditionally because an is less than or equal to bn

So the given series is converges absolutely

therefore answer is Option C

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