MATE_3032_Arturo_Portnoy.802174088.quiz11.6.pdf - ADRIAN O...

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ADRIAN O OLIVERA OLIVERAMATE3032ArturoPortnoyAssignment quiz11.6 due 04/29/2018 at 11:59pm AST1.(1 point) Match each of the following with the correctstatement.(1 point) Determine whether the following alternatingseries areabsolutely convergent, conditionally convergent,ordivergent.A. The series is absolutely convergent.C. The series converges, but is not absolutely convergent.D. The series diverges.1.n=1(-1)nnn+92.n=1(-7)nn23.n=1(-1)n2n+34.n=1(n+1)(92-1)n92n5.n=1sin(5n)n2Answer(s) submitted:CDCAA(correct)2.(1 point) Match each of the following with the correctstatement.A. The series is absolutely convergent.C. The series converges, but is not absolutely convergent.D. The series diverges.1.n=1n37n2.n=1(-1)n5n-1(5)n+1n173.n=1(-1)n3nn!4.n=1(n+2)!3nn!5.n=1(-1)nn!3nAnswer(s) submitted:ACAAD(correct)3.(1 point) Determine whether the following alternatingseries areabsolutely convergent, conditionally convergent,ordivergent.Answer ”Absolutely Convergent”, ”ConditionallyConvergent”, or ”Divergent”.choose oneAbsolutely ConvergentConditionally ConvergentDivergent1.n=1sin(nπ2)nchoose oneAbsolutely ConvergentConditionally ConvergentDivergent2.n=1(-1)nsinπnchoose oneAbsolutely ConvergentConditionally ConvergentDivergent3.n=1(-1)n+1nnn!Note:You only have two attempts at this problem.Answer(s) submitted:Conditionally ConvergentConditionally ConvergentDivergent(correct)4.(1 point)Consider the seriesn=1anwherean=(3n2+7)(-10)n+511nIn this problem you must attempt to use the Ratio Test to decidewhether the series converges.ComputeL=limnan+1an1
Enter the numerical value of the limitLif it converges, INF ifthe limit forLdiverges to infinity, MINF if it diverges to nega-tive infinity, or DIV if it diverges but not to infinity or negativeinfinity.
Which of the following statements is true?
E. The Ratio Test is inconclusive, but the series diverges by an-other test or tests.F. The Ratio Test is inconclusive, but the series converges con-ditionally by another test or tests.Enter the letter for your choice here:?

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