(-1)* (2k)! 1. Consider the series k=0 Σ (-1)* (a) Determine n so that s, = to within 10-5 of the actual sum of the series. (You may assume (2k)! k=0 that this series converges by the Alternating Series Test.) Note: 0! = 1. (b) Compute Sn using the n you found in part (a). Round your answer to 8 decimal places. (c) The actual sum of the series is cos(1) (in radians). What is the actual error in this case? Give your answer to 8 decimal places.

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