HW13-problems - cadena(jc59484 HW13 lawn(55930 This print-out should have 20 questions Multiple-choice questions may continue on the next column or page

HW13-problems - cadena(jc59484 HW13 lawn(55930 This...

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cadena (jc59484) – HW13 – lawn – (55930) 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 10.0points Which, if any, of the following statements are true? A. If 0 a n b n and summationdisplay b n diverges, then summationdisplay a n diverges B. The Ratio Test can be used to determine whether summationdisplay 1 /n ! converges. C. If summationdisplay a n converges, then lim n → ∞ a n = 0. 1. A only 2. B and C only 3. A and B only 4. none of them 5. all of them 6. A and C only 7. B only 8. C only 002 10.0points Which one of the following properties does the series summationdisplay m =2 ( - 1) m m m 2 + 2 have? 1. absolutely convergent 2. divergent 3. conditionally convergent 003 10.0points If n a n converges, which, if any, of the following statements are true: (A) summationdisplay n | a n | is convergent , (B) lim n → ∞ a n = 0 . 1. neither A nor B 2. A only 3. both A and B 4. B only 004 10.0points Determine which, if either, of the series A. summationdisplay n =1 1 n ! cos parenleftBig n π 3 parenrightBig B. summationdisplay n =1 ( - 1) n - 1 5 n 2 n 2 + 3 are absolutely convergent. 1. neither of them 2. both of them 3. A only 4. B only 005 10.0points Determine which, if any, of the series
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  • Fall '11
  • Gramlich
  • Accounting, Mathematical Series, 2 m, Radius of convergence

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