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HW 3-problems

# HW 3-problems - lee(kl22423 HW 3 cepparo(54490 This...

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lee (kl22423) – HW 3 – cepparo – (54490) 1 This print-out should have 15 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 n =1 tan - 1 n 1 + n 6 converges or diverges. 1. series is divergent 2. series is convergent 002 10.0points Which of the following infinite series con- verges? 1. summationdisplay n =1 parenleftbigg 6 n 8 n + 5 parenrightbigg n 2. summationdisplay n =1 7 n n ( n + 6) n 3. summationdisplay n =1 8 7 n - 5 4. summationdisplay k =2 5 8 k ln k + 7 k 5. summationdisplay n =1 parenleftbigg 7 5 parenrightbigg n 003 10.0points Determine if the series summationdisplay k =1 1 + 2 k 4 k converges or diverges. 1. series is divergent 2. series is convergent 004 10.0points Determine whether the series summationdisplay k =1 3 + k + k 4 5 + k 2 + k 10 converges or diverges. 1. series is divergent 2. series is convergent 005 10.0points Determine whether the series summationdisplay n =1 sin

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