MATH 152 Midterm: MATH 152 TAMU 2012a Exam 2b Solutions
Document Summary
Common exam ii - version b - solutions. Part i: multiple choice (4 pts each: the sequence whose terms are an (cid:1) n2 (cid:1) 1 n2. Correct choice a. increases and converges to 1: decreases and converges to 1. increases and converges to 0. c, decreases and converges to 0, diverges. Solution: x2 (cid:1) 9 tan2(cid:1) x2 (cid:2) 9 (cid:1) 9 tan2(cid:1) (cid:2) 9 (cid:1) 3 sec (cid:1) dx (cid:1) 3 sec2(cid:1) d(cid:1) 9 tan2(cid:1) (cid:2) 3 sec (cid:1) (cid:2) 3 sec2(cid:1) d(cid:1) (cid:1) (cid:3)0 (cid:2)/4 (cid:2)/4 (cid:3)0 (cid:2) (cid:3)(cid:1)1(cid:4)n (cid:2) 2n: (cid:4) 81 tan2(cid:1) sec3(cid:1) d(cid:1) (cid:2)/4 (cid:2)/4 (cid:2)/4 (cid:2)/4: (cid:3)0, (cid:3)0, (cid:3)0, (cid:3)0, (cid:3)0. 1: which of the following series diverges by the test for divergence? (cid:2, (cid:4, (cid:4, (cid:4) n(cid:1)1 (cid:2) n(cid:1)1 (cid:2) n(cid:1)1 (cid:2, (cid:4) n(cid:1)1 sin (cid:2) Correct choice ln n n sin 1 n n n: the test for divergence is inconclusive for all of the above series.
