Quest Assignment 5-problems

# Quest Assignment 5-problems - saliyev(is4663 Quest...

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saliyev (is4663) – Quest Assignment 5 – rodin – (54520) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points Let h be a continuous, positive, decreasing Function on [2 , ). Compare the values oF the integral A = ± 14 2 h ( x ) dx and the series B = 14 ² n =3 h ( n ) ,C = 13 ² n =2 h ( n ) . 1. B>C>A 2. A>B>C 3. C<A<B 4. B<C<A 5. A<B<C 6. B<A<C 002 10.0 points Compare the values oF the series A = ² n 3 n 1 . 5 and the improper integral B = ± 1 3 x 1 . 5 dx. 1. A = B 2. A>B 3. A<B 003 10.0 points Which oF the Following series are convergent: A . ² n =1 2 n 2 / 3 B . 1+ 1 4 + 1 9 + 1 16 + ... C . ² n 3 n +1 1. none oF them 2. Bon ly 3. all oF them 4. BandCon 5. Aonly 6. AandConly 7. AandBonly 8. Con 004 10.0 points Which, iF any, oF the Following series converge? ( A ) ² n 6 n (ln n ) 2 ( B ) ² n 2ln n n 2 1. neither A nor B

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saliyev (is4663) – Quest Assignment 5 – rodin – (54520) 2 2. A only 3. B only 4. A and B 005 10.0 points Determine the convergence or divergence of the series (
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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.

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Quest Assignment 5-problems - saliyev(is4663 Quest...

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