APPM 1360 Midterm: appm1360fall2016exam3_sol

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31 Jan 2019
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Exam 3 sure all of your work is in your bluebook. On the front of your bluebook, please write: a grading key, your name, student id, your lecture number and instructor. This exam is worth 100 points and has 4 questions. The back side contains a formula sheet: submit this exam sheet with your bluebook. However, nothing on this exam sheet will be graded. Make: show all work and simplify your answers unless the question states otherwise, please begin each problem (1 4) on a new page. Clearly label all parts: no notes or papers, calculators, cell phones, or electronic devices are permitted. Solution: (a) (from the previous part) when x lies in the interval 0 x 1. 34 f (x) = f (x) = f (4)(x) = f (5)(x) = f (x) = ln(x) = Xn=0 f (n)(3) n! (x 3)n = ln(3) + Xn=1 ( 1)n+1 (n 1)! n!3n (x 3)n.