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watson (adw946) - Summary 11.6/11.7 - arledge - (55410) This print-out should have 16 questions. Multiple-choice questions may continue on the next

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watson (adw946) – Summary 11.6/11.7 – arledge – (55410) 1 This print-out should have 16 questions. Multiple-choice questions may continue on the next column or page – fnd all choices beFore answering. 001 10.0 points Which one oF the Following properties does the series s n = 1 4 n (3 n + 1) 3 2 n +1 have? 1. conditionally convergent 2. divergent 3. absolutely convergent 002 10.0 points Determine whether the series s n =1 ( - 1) n - 1 e 1 /n 5 n is absolutely convergent, conditionally con- vergent or divergent. 1. divergent 2. absolutely convergent 3. conditionally convergent 003 10.0 points Which one oF the Following properties does the series s n = 1 ( - 6) n n ! have? 1. conditionally convergent 2. absolutely convergent 3. divergent 004 10.0 points To apply the ratio test to the infnite series s n a n , the value λ = lim n →∞ a n +1 a n has to be determined. Compute λ For the series s n =1 6 n 5 n 6 + 7 . 1. λ = 0 2. λ = 6 5 3. λ = 1 2 4. λ = 6 5. λ = 6 7 005 10.0 points Determine whether the series s k = 1 ( - 1) k - 1 cos 2 k 5 k is absolutely convergent, conditionally con- vergent or divergent 1. absolutely convergent 2. divergent 3. conditionally convergent 006 10.0 points
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watson (adw946) – Summary 11.6/11.7 – arledge – (55410) 2 Which one of the following properties does the series s n = 1 ( - n ) n 4 2 n +1 have? 1. divergent 2. absolutely convergent 3. conditionally convergent 007 10.0 points To apply the ratio test to the inFnite series s n a n , the value λ = lim n →∞ a n +1 a n has to be determined, Compute λ for the series s n =1 1 7 n + 8 sin p 1 n P . 1. λ = 1 15 2. λ = 0 3. λ = 1 7 4. λ = 1 8 5. λ = 1 008 10.0 points Decide whether the series s n = 1 1 2 n ± n + 1 n ² n 2 converges or diverges. 1. diverges 2. converges 009 10.0 points To apply the root test to an inFnite 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 s n =1 3 n + 2 n p 7 3 P n . 1. ρ = 6 7 2. ρ = 7 3 3. ρ = 14 3 4. ρ = 7 5. ρ = 3 7 010 10.0 points Decide whether the series s n =1 1 12 n ± n + 2 n ² n 2 converges or diverges. 1. converges 2. diverges 011 10.0 points Determine whether the series s n =0 ( - 7) n (2 n )!
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