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6. Consider the alternating series Z(1)k+l f H 3k +1 (a) Use the Alternating Series Test to show that the series converges. (b) Determine the

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6. Consider the alternating series Z(1)k+l f H 3k +1 (a) Use the Alternating Series Test to show that the series converges. (b) Determine the least number of terms that can be used to estimate the sum of the series with error less than 0.005, and nd such an estimate. ' (e) 13 the series absolutely convergent or conditionally convergent? Show how you know

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