MATH 1132Q Midterm: Exam 2 Spring 2015
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MATH 1132Q Full Course Notes
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3n for n > 1: an is sn = 1 + n. 2 (c) if lim n an = 0 then the series ( 1)k k3. |an| diverges then an diverges. (f) the sequence an = converges to 1. an converges. (c) t f. Xn=1 converges conditionally. (d) t f (a) t f (b) t f (e) t f (f) t f (g) t f. Xk=0 (g) if the power series ak (x 4)k has a radius of convergence equal to 2 then ak diverges: for each multiple choice question, circle the correct answer. There is only one correct choice for each answer. No justi cation is required. (a) which of the following sequences is both bounded and monotonic? (a) {an} = {n2} (b) {an} = { 0 (c) {an} = { sin ( n) n. N + 1} (d) {an} = { (e) none of the above.