review3 - Valencia (drv252) Review 3 Zheng (58355) 1 This...

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Unformatted text preview: Valencia (drv252) Review 3 Zheng (58355) 1 This print-out should have 20 questions. Multiple-choice 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 = lim k | a k | 1 /k has to be determined. Compute the value of for the series summationdisplay k = 1 3 k k (ln k + 7) k . 1. = 7 2. = 21 3. = 3 4. = 5. = 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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review3 - Valencia (drv252) Review 3 Zheng (58355) 1 This...

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