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(a) Use any test to show that the following series is convergent. X∞ n=1 (−1)n n...

(a) Use any test to show that the following series is convergent. X∞ n=1 (−1)n n 2 + 1 5 n + 1

(b) Find the minimum number of terms of the series that we need so that the estimated sum has an |error| < 0.001.

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