MATH 31B Final: MATH31B Final Exam 2012 Spring Solution
Document Summary
If the question is in several parts, carefully label the answer to each part. Do all of your work on the examination paper; scratch paper is not permitted. If you continue a problem on the back of the page, please write continued on back . 2 (i) evaluate the in nite series: (a) 1 (b) 16/3 (ii) evaluate the in nite series: 2 n(n + 2) n=1 (a) 3/2 (c) 1/2 (iii) evaluate the in nite series: 1 1 (b) 2 (a) /2 (b) e 1. 3 + 1 (c) 1/2 n(cid:112) (iv) evaluate the limit: lim n (b) + n2 + 1. (c) 0 (a) 1/2 (v) which di . equation does y = 1 + 3! (d) 10/3 (e) 4/3 (d) 3/4 (e) 1 (d) /4 (e) 3/4 (d) 1. 9! x9 + c a d d h d a g e.
