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harris (tlh2479) – PostClass 11.7 – morales – (56815) 1 This print-out should have 10 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0points Determine whether the series summationdisplay m =1 ( 1) m 1 m 2 m + 7 is absolutely convergent, conditionally con- vergent or divergent. 1. absolutely convergent 2. conditionally convergent correct 3. divergent and f ( x ) is ultimately decreasing because f ( x ) = 7 2 x 2 x (2 x + 7) 2 < 0 for all x > 7 / 2. Consequently, by the Alter- nating Series test, the series summationdisplay m =1 ( 1) m 1 f ( m ) is conditionally convergent, which in turn means that the given series is conditionally convergent . keywords: absolutely convergent, condition- ally convergent, divergent, p -series test, Al- ternating Series test,

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