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Unformatted text preview: 1 12.4: Examples Determine if the series converges or diverges. 1. ∑ ∞ n =1 1 1+2 n 2. ∑ ∞ n =1 1 √ n 21 3. ∑ ∞ n =1 n1 n 4 n 2 12.4: The Comparison Tests Theorem (The Limit Comparison Test) . Suppose that ∑ a n and ∑ b n are series with positive terms. If lim n →∞ a n b n = c where c is a ﬁnite number and c > 0, then either both series converge or both diverge. 3 12.4: Examples Determine if the series converges or diverges. 1. ∑ ∞ n =1 1 2 n1 2. ∑ ∞ n =1 √ n +2 2 n 2 + n +1 4...
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This note was uploaded on 04/04/2011 for the course MATH 408 L taught by Professor Zheng during the Fall '10 term at University of Texas.
 Fall '10
 ZHENG
 Calculus

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