APPM 1360 Midterm: appm1360fall2014exam3
Document Summary
Instructions: books, notes, and electronic devices are not permitted. Exam 3, (3) instructor name/lecture number, and (4) fall 2014 on the front of your blue book. Also make a grading table with room for 4 problems and a total score. A correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. Show all work: (8 points each) determine whether the series is absolutely convergent, conditionally convergent, or divergent. (a) Xn=0 ( 1)n+1(x 1)n+1 n + 1 (a) (7 points) find the radius of convergence. (b) (9 points) find the interval of convergence: the following problems are not related. (a) consider the series (cid:18) 1. 22n+1 (2n + 1)! (cid:19)(cid:21) : (7 points) suppose we approximate the sum of the series by adding the rst four terms (consisting of eight fractions).
