MATH10550 Midterm: MATH 10550 Exam 3 Spring 2006
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2. (a) (a) (b) (b) (c) (c) (d) (d) (e) (e) 4. (a) (a) (b) (b) (c) (c) (d) (d) (e) (e) 6. (a) (a) (b) (b) (c) (c) (d) (d) (e) (e) 8. (a) (a) (b) (b) (c) (c) (d) (d) (e) (e) Multiple choice lim n (ln n)2 n (a) (d) 6= 0. (b) diverges because the terms alternate. (c) does not converge absolutely but does converge conditionally. (d) diverges even though lim n ( 1)n+1. Use comparison tests to determine which one of the following series is diver- gent. (a) (d) 2 1 n3 + 100 (b) (e) Which series below is the maclaurin series (taylor series centered at 0) for. 1 + x (a) (b) (c) (d) (e) xn+2 n + 2 n+2 x ( 1)n. Find the degree 3 maclaurin polynomial (taylor polynomial centered at 0) for the function ex (c)
