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Unformatted text preview: saliyev (is4663) – Quest Assignment 6 – rodin – (54520) 1 This print-out should have 10 questions. Multiple-choice 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 ) : ∞ summationdisplay n =1 a n , ( B ) : ∞ summationdisplay n = 1 b n if we know that the series ( C ) : ∞ summationdisplay 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 ) ∞ summationdisplay n =1 3 5 n log n + 6 n ( B ) ∞ summationdisplay n =1 6 n n ( n + 3) n ( C ) ∞ summationdisplay n = 1 parenleftbigg 3 n 5 n + 3 parenrightbigg n...
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This note was uploaded on 09/15/2011 for the course M 55565 taught by Professor Rusin during the Spring '11 term at University of Texas at Austin.
- Spring '11