MATH10560 Midterm: Math10560Practice Exam3S17

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31 Jan 2019
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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) 10. (a) (b) (b) (c) (c) (d) (d) (e) (e) N (a) converges absolutely. (b) diverges because the terms alternate. (c) diverges even though lim n ( 1)n+1. 6= 0. (e) does not converge absolutely but does converge conditionally. Use comparison tests to determine which one of the following series is diver- gent. (a) (d) Xn=1 (cid:16) 2n2 + 7 n2 + 1 (cid:17)n (ii) Which of the following statements is true? (a) (i) converges, (ii) diverges, and (iii) converges. (b) they all converge. (c) they all diverge. (d) (i) diverges, (ii) diverges, and (iii) converges. (e) (i) converges, (ii) diverges, and (iii) diverges.