Review Exam 3

Review Exam 3 - ln n 21 . X n =1 1-1 n n 2 22 . X n =0 n n...

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MAT 296 Some series problems Does each of the following series converge or diverge? If it converges, does it converge absolutely or conditionally? 1 . X n =1 n 2 n 3 + n 2 . X n =2 n 2 n 3 - n 3 . X n =2 ( - 1) n n 2 n 3 + n 4 . X n =0 2 3 n n ! 5 . X n =3 ( - 1) n 1 n (ln n ) 2 6 . X n =1 ln n n 7 . X n =0 ln n n ! 8 . X n =1 ln n n 2 9 . X n =1 ( - 1) n e n n 2 n 10 . X n =0 r 1 + n 1 + n 4 11 . X n =1 cos( ) n 12 . X n =0 n ! (2 n )! 13 . X n =0 ne - n 2 14 . X n =0 ( - 1) n 1 e n 15 . X n =1 ± 2 - 1 n ² 2 n 16 . X n =1 | sin n | n 3 / 2 17 . X n =0 2 n 2 n +1 + 1 18 . X n =0 ( - 1) n n n + 1 19 . X n =0 ( - 1) n n 1000 n + 1 20 . X n =2 ( - 1) n 1 2 n
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Unformatted text preview: ln n 21 . X n =1 1-1 n n 2 22 . X n =0 n n 4 + 2 Determine the interval of convergence of each of the following power series. 1 . X n =1 (-1) n n + 2 3 2 n +1 x n 2 . X n =1 ln n ( n !) 2 x n 3 . X n =1 (-1) n (3 n )! 2 n x n...
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