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Unformatted text preview: yp968 – Practice Exam 3 – Radin – (58415) 1 This printout should have 23 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Determine whether the sequence { a n } con verges or diverges when a n = ( 1) n parenleftbigg 6 n + 5 n + 3 parenrightbigg , and if it does, find its limit. 1. sequence diverges 2. limit = ± 6 3. limit = 5 3 4. limit = 0 5. limit = 6 002 10.0 points Determine whether the series 3 + 1 + 1 3 + 1 9 + ··· is convergent or divergent, and if convergent, find its sum. 1. convergent with sum = 2 9 2. convergent with sum = 2 3. divergent 4. convergent with sum = 9 2 5. convergent with sum = 1 2 003 10.0 points Determine whether the infinite series ∞ summationdisplay n =1 4( n + 1) 2 n ( n + 2) converges or diverges, and if converges, find its sum. 1. converges with sum = 2 2. converges with sum = 4 3. diverges 4. converges with sum = 1 5. converges with sum = 1 2 004 10.0 points To apply the root test to an infinite series ∑ n a n the value of ρ = lim n →∞  a n  1 /n has to be determined. Compute the value of ρ for the series ∞ summationdisplay n =1 parenleftbigg 2 n + 3 4 n parenrightbigg 2 n . 1. ρ = 3 4 2. ρ = 1 4 3. ρ = 1 2 4. ρ = 9 16 5. ρ = 9 4 005 10.0 points yp968 – Practice Exam 3 – Radin – (58415) 2 Determine whether the series ∞ summationdisplay n =1 ( 1) n 1 cos parenleftBig 1 5 n parenrightBig is absolutely convergent, conditionally con vergent or divergent....
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 Spring '08
 Cepparo
 Infinite Series, lim, 1 m, SERIESA, 1 M, 4 9 16 25 k

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