10sE2 - Prof Girardi MARK BOX problem points 1aj 30 2 5 3...

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Prof. Girardi Math 142 Spring 2010 03.18.10 Exam 2 MARK BOX problem points 1 a – j 30 2 5 3 10 4 10 5 ab 10 6 10 7 10 8 5 9 10 % 100 NAME: PIN: INSTRUCTIONS : (1) To receive credit you must: (a) work in a logical fashion, show all your work, indicate your reasoning ; no credit will be given for an answer that just appears ; such explanations help with partial credit (b) if a line/box is provided, then: — show you work BELOW the line/box — put your answer on/in the line/box (c) if no such line/box is provided, then box your answer (2) The mark box indicates the problems along with their points. Check that your copy of the exam has all of the problems. (3) You may not use a calculator, books, personal notes. (4) During this exam, do not leave your seat. If you have a question, raise your hand. When you finish: turn your exam over, put your pencil down, and raise your hand. (5) This exam covers (from Calculus by Stewart, 6 th ed., ET): 11.2–11.8 . Problem Inspiration : Mostly homework and old exam problems. See the solution key for details. 1
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1. Fill-in-the blanks/boxes. All series are understood to be X n =1 . Hint: I do NOT want to see the words absolute nor conditional on this page! 1a. n th -term test for an arbitrary series a n . If lim n →∞ a n 6 = 0 or lim n →∞ a n does not exist, then a n . 1b. Geometric Series where -∞ < r < . The series r n converges if and only if | r | diverges if and only if | r | 1c. p -series where 0 < p < . The series 1 n p converges if and only if p diverges if and only if p 1d. Integral Test for a positive-termed series a n where a n 0. Let
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This note was uploaded on 12/13/2011 for the course MATH 142 taught by Professor Kustin during the Fall '11 term at South Carolina.

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10sE2 - Prof Girardi MARK BOX problem points 1aj 30 2 5 3...

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