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Quest Assignment 6-problems

# Quest Assignment 6-problems - saliyev(is4663 Quest...

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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 0 < 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 k 6 + k 3 converges or diverges. 1. series is divergent 2. series is convergent 004 10.0 points Which of the following series ( A ) n = 1 (5 sin n ) 2 2 n 2 + 2 ( B ) n = 1 5 n 8 n 2 ln

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