# Choose one convergent divergent inconclusive

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choose oneConvergentDivergent Inconclusive Determine whether the series isabsolutely convergent, con-ditionally convergent,ordivergent. 17.(1 point) Consider the seriesn=15n-16n+32n. Evaluatethe the following limit. If it is infinite, type ”infinity” or ”inf”.If it does not exist, type ”DNE”. What can you say about the series using the Root Test? An-swer ”Convergent”, ”Divergent”, or ”Inconclusive”. Determine whether the series is absolutely convergent, con- ditionally convergent, or divergent. Answer ”Absolutely Con- vergent”, ”Conditionally Convergent”, or ”Divergent”. Answer: choose one Absolutely Convergent Conditionally Convergent Divergent Correct Answers: 5ˆ2/(6ˆ2) Convergent Absolutely Convergent 18.(1 point)(a)Carefullydeterminetheconvergenceoftheseriesn=1(-1)n(n+1n). The series is (b)Carefullydeterminetheconvergenceoftheseriesn=1(-1)n2n. The series is 19.(1 point) 5
C. The integral test can be used to determine conver- gence of this series. D. The comparison test can be used to determine con- vergence of this series. E. The limit comparison test can be used to determine convergence of this series. F. The ratio test can be used to determine convergence of this series. G. The alternating series test can be used to determine convergence of this series. (b) Check all of the following that are true for the series n = 1 ( n ! ) 2 ( 2 n ) ! A. This series converges B. This series diverges C. The integral test can be used to determine conver- gence of this series. D. The comparison test can be used to determine con- vergence of this series. E. The limit comparison test can be used to determine convergence of this series. F. The ratio test can be used to determine convergence of this series. G. The alternating series test can be used to determine convergence of this series. Correct Answers: ACDE AF
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