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Please make sure to answer the question correctly, and please write all the work/steps clearly and legibly for the answer. I need the work/steps to better understand how to work the question / get the answer. Thank you.

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Determine whether the following series converges. 6( -1) 3k + 7 k=0 Let ax 2 0 represent the magnitude of the terms of the given series. Identify and describe ak. Select the correct choice below and fill in any answer box in your choice. O A. ak = and for any index N, there are some values of k > N for which ak + 1 2 ax and some values of k > N for which ak + 1 Sak. O B. ak = is nondecreasing in magnitude for k greater than some index N. O C. ak = is nonincreasing in magnitude for k greater than some index N. Evaluate lim ak- k-+00 lim ak = K-+00 Does the series converge? O Yes O No

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