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Unformatted text preview: (c) ∞ X n =1 4 n ( n + 2) n 8 (7) Determine whether the series converges or diverges. (a) ∞ X n =1 ± n n + 100 ² n (b) ∞ X n =1 2 n n ! n n (c) ∞ X n =1 ± 1 n ² n 9 (8) Determine whether the series converges or diverges. (a) ∞ X n =1 (2 n + 1) 2 n (5 n 2 + 1) k (b) ∞ X n =1 n n (3 n ) 2 (c) ∞ X n =1 n n 4 ( n 2 ) 10 (9) Determine whether given alternating series is absolutely convergent, conditionally convergent, or divergent. (a) ∞ X n =1 (1) n +1 1 ( n !) 2 (b) ∞ X n =1 (1) n +1 n 23 n 2 + n + 2 (c) ∞ X n =1 (1) n +1 n n 2 + 1 11 (10) Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (a) ∞ X n =1 (1) n 2 n n 2 + 1 (b) ∞ X n =1 (1) n 2 n 3 n4 (c) ∞ X n =1 cos πn n 2...
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 Spring '09
 HarvanshManocha
 Calculus, Mathematical Series, #, 3k, 2k, 1 k

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