APPM 1360 Midterm: appm1360spring2013exam2
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Instructions: books, notes, and electronic devices are not permitted. 1360/exam 2, (3) instructor"s name and (4) spring 2013 on the front of your bluebook. Also make a grading table with room for 5 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: (a) (10 pts) solve the di erential equation du dt. Determine whether the following sequences converge or diverge. 4n3n 3 (cid:27) n=4 (b) fm = (cid:18)1 + M where m = 2, 3, : (10 pts ea. ) Determine if the following series are convergent or divergent. If convergent, nd the sum of the series, when possible. You may not use any series comparison tests, or the ratio or root test. Xb=106 b(cid:18) 1 e(cid:19)b2: (20 pts, 4 pts ea. ) Do not justify your answer. (a) if {an} = (cid:26)1,
