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Determine whether the following series converges. co 8(-1)K k =2 k( Ink) Let ax 20 represent the magnitude of the terms of the given series.

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Determine whether the following series converges. co 8(-1)K k =2 k( Ink) Let ax 20 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. OA. 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 No O Yes

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