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Unformatted text preview: do not have other problems to deal with and are under less pressure. However, please do not rush through the analogous problem on the ﬁnal. Determine whether each of the following sequences or series converges or not. In each case, clearly circle either YES or NO , but not both. (a) the sequence a n = (1) n1 n n 2 + 1 YES NO (b) the sequence a n = 1 + cos(2 /n ) YES NO (c) the sequence a n = n cos n YES NO (d) the sequence a n = (1) n n n + 1 YES NO (e) the sequence a n = sin 2 n 1 + √ n YES NO (f) the series ∞ X n =1 n √ n 2 + 1 YES NO (g) the series ∞ X n =1 4 + 3 n 2 n YES NO (h) the series ∞ X n =1 7 n n ! YES NO (i) the series ∞ X n =1 sin n 2 n YES NO (j) the series ∞ X n =1 (1) n n n 2 + 1 YES NO...
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 Fall '07
 GuanYuShi
 Calculus, Mathematical analysis, 10 minutes, Limit of a sequence

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