C using the ratio test and the result from part b

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(c) Using the Ratio Test and the result from part (b), does theseries converge, diverge, or is the test inconclusive?ChooseConvergesDivergesInconclusiveAnswer(s) submitted:
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11.(1 point) Consider the seriess=an=(n+2)!.(a) Find the ratio of successive terms. Express the answer asa fully simplified fraction. For
(b) Using the result in part (a), evaluate the following limit.limnan+1an=Note: If necessary, enterinfinityforandDNEfor ”doesnot exist”.(c) Using the Ratio Test and the result from part (b), does theseries converge, diverge, or is the test inconclusive?2
Chooseseries converge, diverge, or is the test inconclusive?12.(1 point) Consider the seriess=e-nn!.(a) Evaluate the the following limit.limnan+1an=Note: If necessary, enterinfinityforandDNEfor ”doesnot exist”.(b) Using the Ratio Test and the result from part (a), does theseries converge, diverge, or is the test inconclusive?choose oneConvergentDivergent(c) Is the series absolutely convergent, conditionally conver-gent, or divergent?choose one13.(1point)Considertheseriess=n=an=n=15n(n+1)42n+1.(a) Evaluate the the following limit.Note: If necessary, enterinfinityforandDNEfor ”doesnot exist”.(b) Using the Ratio Test and the result from part (a), does theseries converge, diverge, or is the test inconclusive?

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