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Unformatted text preview: Valencia (drv252) – Review 3 – Zheng – (58355) 1 This printout should have 20 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Find the n th term, a n , of an infinite series ∑ ∞ n = 1 a n when the n th partial sum, S n , of the series is given by S n = 4 n n + 1 . 1. a n = 5 n ( n + 1) 2. a n = 5 2 n 3. a n = 2 n 4. a n = 4 n ( n + 1) 5. a n = 5 2 n 2 6. a n = 2 n 2 002 10.0 points Let f be a continuous, positive, decreasing function on [3 , ∞ ). Compare the values of the integral A = integraldisplay 20 3 f ( t ) dt and the series B = 19 summationdisplay n = 3 f ( n ) . 1. A = B 2. A > B 3. A < B 003 10.0 points To apply the root test to an infinite series ∑ k a k , the value of ρ = lim k →∞  a k  1 /k has to be determined. Compute the value of ρ for the series ∞ summationdisplay k = 1 3 k k (ln k + 7) k . 1. ρ = 7 2. ρ = 21 3. ρ = 3 4. ρ = ∞ 5. ρ = 0 004 10.0 points Determine whether the series ∞ summationdisplay n =0 parenleftbigg 4 7 parenrightbigg n/ 2 is convergent or divergent, and if convergent, find its sum. 1. convergent with sum = √ 7 2 √ 7 2. convergent with sum = √ 7 2 2 3. convergent with sum = √ 7 √ 7 2 4. convergent with sum = 2 √ 7 2 5. divergent 005 10.0 points Valencia (drv252) – Review 3 – Zheng – (58355) 2 Decide which, if any, of the following series...
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This note was uploaded on 09/14/2009 for the course M 408 L taught by Professor Cepparo during the Spring '08 term at University of Texas.
 Spring '08
 Cepparo

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