MATH 142 Final: MATH142 South Carolina 98Final Exam4
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Instructions: to receive credit you must, work in a logical fashion, show all your work, indicate your reasoning. Check that your copy of the exam has all of the problems: during this test, do not leave your seat. If you have a question, raise your hand. When you nish: turn your exam over, put your pencil down, raise your hand: this closed book/notes quiz covers (from calculus, by varberg and purcell) : 1: determine whether each of the following 4 series is absolutely convergent, condi- tionally convergent, or divergent. Clearly explain your reasoning and indicate the test(s) used. No credit will be given for work that does not make sense to us! 1 + n2 absolutely convergent conditionally convergent divergent. Xn=7 ( 1)n n2 n! absolutely convergent conditionally convergent divergent. Xn=7(cid:18) 1 ln n(cid:19)n absolutely convergent conditionally convergent divergent. 10n + 12 absolutely convergent conditionally convergent divergent.
