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Unformatted text preview: Schedule and exercise list sheet found on the ACE webpage. This will give you much needed practice. Hand in your solutions to the following problems. 1. Determine whether each of the following series is convergent or divergent. (a) ∞ X n =1 2 n 3 n + 1 (b) ∞ X n =1 n + 5 3 √ n 7 + n 2 (c) ∞ X n =1 3 1 /n n 4 1 (d) ∞ X n =1 sin ± 1 n ² (e) ∞ X n =1 n ! n n 2. Determine whether each of the following alternating series is convergent or divergent. (a) ∞ X n =1 (1) n1 e 1 /n n (b) ∞ X n =3 (1) n1 ln n n (c) ∞ X n =1 (1) n1 cos ± 1 n ² 3. Explain brieﬂy why each series below converges. Then ﬁnd n such that the n th partial sum s n will approximate the full sum s with error less than the amount speciﬁed. Then use your calculator to actually compute that approximation. (a) s = ∞ X n =1 (1) n1 1 n 3 , with error less than . 01 . (b) s = ∞ X n =1 (1) n1 2 n n ! , with error less than 1 / 10 4 . 2...
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 Winter '07
 Anoymous
 Math, Mathematical Series, n=1, partial sum sn, exercise list sheet

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