WEBWORK 2 WITH ANSWERS

WEBWORK 2 WITH ANSWERS - Li Lian Chong WeBWorK assignment 2...

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Unformatted text preview: Li Lian Chong WeBWorK assignment 2 due 05/10/2010 at 11:59pm EDT. MATH262 Fall 2008 You may attempt each problem a maximum of 10 times. Problems on numerical series and power series. 1. (1 pt) Test each of the following series for convergence by either the Comparison Test or the Limit Comparison Test with a p-series. If either test can be applied to the series, enter CONV if it converges or DIV if it diverges. If neither test can be applied to the series, enter NA. (Note: this means that even if you know a given series converges by some other test, but the comparison tests cannot be applied to it, then you must enter NA rather than CONV.) 1. ∞ ∑ n = 1 cos ( n ) √ n 8 n + 3 2. ∞ ∑ n = 1 ( cos ( n )) 2 √ n n 2 3. ∞ ∑ n = 1 (- 1 ) n 4 n 4. ∞ ∑ n = 1 4 n 4- n 3 + 8 √ n 4 n 6- n 2 + 4 5. ∞ ∑ n = 1 ( ln ( n )) 4 n + 6 Correct Answers: • NA • CONV • NA • CONV • DIV 2. (1 pt) Select the FIRST correct reason why the given se- ries converges. A. Convergent geometric series B. Convergent p-series C. Comparison (or Limit Comparison) with a geometric or p-series D. Converges by alternating series test 1....
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This note was uploaded on 11/09/2011 for the course MATH 262 taught by Professor Faber during the Spring '08 term at McGill.

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WEBWORK 2 WITH ANSWERS - Li Lian Chong WeBWorK assignment 2...

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