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Unformatted text preview: Practice Problems for Math 133 Exam 4 Exam 4 will cover the material done in class and in homework from Sections 11.2 11.10 plus Sections 10.4 and 10.5. The problems on this sheet should help to remind you of this material. You should also go through your class notes and your HW problems. It is also especially helpful to go through your quizzes and check your answers against the solutions posted on the class web page. 1. Find the sum of the series S = X n =1 n 4 n and the series S = X n =1 3 7 n- 1 2 n . 2. Use the Integral Test (IT), Limit Comparison Test (LCT), Comparison Test (CT), Ratio Test (RT) or the Alternating Series Test (AST) to determine whether the following series converge absolutely, converge conditionally, or diverge. Show your reasoning clearly and state the test you use. (a) S = X n =1 1 1 + n 2 (b) S = X n =1 3 n n ! 2 n ! (c) S = X n =1 n 2 + 5 n 3 n 3- 14 n 2 + 3 (d) S = X n =1 n n ( n + 1) (e) S = X n =1 (- 1) n 1 n (f)...
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This note was uploaded on 05/12/2008 for the course MATH 133 taught by Professor Wei during the Spring '07 term at Michigan State University.
- Spring '07