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Unformatted text preview: saliyev (is4663) – Quest Assignment 6 – rodin – (54520) 1 This printout should have 10 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points If a n , b n , and c n satisfy the inequalities < a n ≤ c n ≤ b n , for all n , what can we say about the series ( A ) : ∞ n = 1 a n , ( B ) : ∞ n = 1 b n if we know that the series ( C ) : ∞ n = 1 c n is divergent but know nothing else about a n and b n ? 1. ( A ) diverges , ( B ) need not diverge 2. ( A ) need not diverge , ( B ) diverges 3. ( A ) converges , ( B ) diverges 4. ( A ) converges , ( B ) need not converge 5. ( A ) diverges , ( B ) converges 6. ( A ) diverges , ( B ) diverges 002 10.0 points Which of the following series ( A ) ∞ n = 1 3 5 n log n + 6 n ( B ) ∞ n = 1 6 n n ( n + 3) n ( C ) ∞ n = 1 3 n 5 n + 3 n diverge? 1. C only 2. A and C 3. all of them 4. A only 5. A and B 003 10.0 points Determine whether the series ∞ k = 1 tan 1...
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This note was uploaded on 02/21/2012 for the course M 408d taught by Professor Sadler during the Fall '07 term at University of Texas at Austin.
 Fall '07
 Sadler
 Sequences And Series

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