hw6 - CALCULUS 1501 WINTER 2010 HOMEWORK ASSIGNMENT 6. Due...

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Unformatted text preview: CALCULUS 1501 WINTER 2010 HOMEWORK ASSIGNMENT 6. Due February 26. 6.1. Determine whether the series ∞ n=1 ∞ n2 1 + 5n + 6 is convergent or divergent. If it is convergent, find its sum. 6.2. Find the value of c such that n=1 ∞ 2nc = 2010. an is Sn = 3 − n2−n , find an and n=1 ∞ n=1 an . 6.3. If the n-th partial sum of a series ∞ 6.4. Let n=1 an be a series with positive terms. ∞ (a) Suppose that for any n ≥ 1, the partial sum Sn satisfies Sn < 100. Prove that converges. (b) Suppose that for any n ≥ 1, an < ∞ n=1 an 1 2 n . Prove that n=1 an converges. In both parts, you do not need to find the sum of the series. 1 ...
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