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MATH262_FALL2010.260429562.2

# MATH262_FALL2010.260429562.2 - Jignesh Patel at 11:59pm EDT...

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Jignesh Patel Assignment 2 MATH262 Fall 2010 09/26/2010 at 11:59pm EDT. 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 ( - 1 ) n 8 n 2. n = 1 ( cos ( n )) 2 n n 4 3. n = 1 9 n 8 - n 5 + 6 n 8 n 10 - n 4 + 5 4. n = 1 cos ( n ) n 6 n + 3 5. n = 1 ( ln ( n )) 5 n + 3 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. n = 1 7 ( 9 ) n 11 2 n 2. n = 1 ( - 1 ) n ln ( e n ) n 9 cos ( n π ) 3.

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