MATH 132 Midterm: MATH 132 UMass Amherst Math-132-Exam-2-SP15
Document Summary
Wen: no papers or notes may be used, please don"t just give an answer. Clearly explain how you get it, pro- viding appropriate mathematical details. An answer of convergent" or divergent" with no supporting work will be awarded zero points: this is a 2 hour exam. Mutiple choice section: choose the one option that best answers the question. There is no partial credit for questions 1-5: [5 points] consider the following: an = n3. Pn=0: if lim n an does not exist, then. If lim n an exists but is not 0, then. Pn=0 (a) i & ii (b) i & iii (c) i, ii & iii (d) ii & iii an converges. 2: [5 points] consider two positive series x an and x bn with an bn. = 0, then both x an and x bn converge or both di: [5 points] determine if the following series converges, and if so, the value it converges to.
