w3 - X n =1 1-1 3 n n ( challenging ) 13. X n =1 ln en n +...

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Worksheet: Strategy for Testing Series Determine if the series converges or diverges. If it converges, indicate if the convergence is conditional or absolute. 1. X n =1 ( - 1) n +1 sin ± π n ² 2. X n =1 ( - 1) n +1 cos ± π n ² 3. X n =1 sin ( π 2 n ) n 4. X n =1 ( - 1) n +1 2 3 n +1 3 2 n + 1 5. X n =1 (arctan n ) n + 1 2 n 6. X n =2 ln ³ n 2 n 2 - 1 ´ 7. X n =2 (ln n ) n - 1 n n 8. X n =1 n ln n ( n + 1) 3 9. X n =1 ( n 3 - 1) n 10. X n =1 ( - 1) n ( n 3 - 1) ( hard ) 11. X n =1 ³ 3 n 3 n + 1 ´ n 2 12.
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Unformatted text preview: X n =1 1-1 3 n n ( challenging ) 13. X n =1 ln en n + 1 n 14. X n =2 n ln n (ln n ) n ( hard ) 15. X n =1 n-2 e 1 n 16. X n =1 n + 9 n e n 2 +1 17. X n =1 n n n ! 18. X n =1 n n (2 n )! 19. X n =1 n 2 n (2 n )!...
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This homework help was uploaded on 04/03/2008 for the course MATH 2300 taught by Professor Frugoni,er during the Spring '08 term at Colorado.

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