MATH 221 Midterm: MATH 221 KSU Test 3s94

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The point value of each problem is indicated in the left margin. You must show all of your work for full credit. Points will be deducted for faulty reasoning, for sloppy notation, and for failure to simplify answers, even if your answer is correct. You may use a calculator, your class notes, and any reference material. Explicitly cite, in some manner, any published formulae you use. (14) 1. 4 n (a) show that this series converges conditionally. (b) how many terms of this series are needed to compute the sum correct to. 2 10 4 . ) four decimal places? (i. e. , we want the error < X n=2 n! (n + 1)! (n 1)! converges. page 2 of 4 pages. Find the taylor series associated with f (x) = e x at the base point page 3 of 4 pages a = 1 .