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# problem11_pdf - rabbani(tar547 HW11 Radin(56635 This...

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rabbani (tar547) – HW11 – Radin – (56635) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Compute the value of lim n →∞ 4 a n b n 5 a n - 6 b n when lim n →∞ a n = 6 , lim n →∞ b n = - 2 . 1. limit doesn’t exist 2. limit = 25 21 3. limit = - 8 7 4. limit = - 25 21 5. limit = 8 7 002 10.0 points Find a formula for the general term a n of the sequence { a n } n =1 = braceleftBig 1 , - 5 2 , 25 4 , - 125 8 , . . . bracerightBig , assuming that the pattern of the first few terms continues. 1. a n = parenleftBig - 5 2 parenrightBig n - 1 2. a n = parenleftBig - 2 parenrightBig n - 1 3. a n = - parenleftBig 5 2 parenrightBig n 4. a n = parenleftBig - 2 5 parenrightBig n - 1 5. a n = - parenleftBig 2 5 parenrightBig n 6. a n = - parenleftBig 2 parenrightBig n 003 10.0 points Determine whether the sequence { a n } con- verges or diverges when a n = 12 n 2 6 n + 1 - 2 n 2 + 3 n + 1 , and if it does, find its limit 1. limit = 5 9 2. the sequence diverges 3. limit = 0 4. limit = 5 3 5. limit = 5 6 004 10.0 points Determine if the sequence { a n } converges, and if it does, find its limit when a n = 2 n + ( - 1) n 6

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problem11_pdf - rabbani(tar547 HW11 Radin(56635 This...

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