What can you say about the series using the Root Test? An-swer ”Convergent”, ”Divergent”, or ”Inconclusive”.(1 pt) Select the FIRST correct reason why the givenseries converges.Answer:?Determine whether the series isabsolutely convergent, con-ditionally convergent,ordivergent.Answer ”AbsolutelyConvergent”, ”Conditionally Convergent”, or ”Divergent”.Answer:?Correct Answers:•2*3/pi•Divergent•Divergent
11.(1 pt)Use the Root Test to determine the convergence or diver-gence of the given series or state that the Root Test is incon-clusive.∞∑n=11+19n-n2L=limn→∞np|an|=(Enter ’inf’ for∞.)∞∑n=1n2+√nn4-45.∞∑n=1sin2(2n)n26.∞∑n=1(-1)n√nn+4•D•C•B•C•C•D
12.(1 pt) Using either the Integral or Comparison Tests,determine whether the following seriesconvergeordiverge.Answer ”Converges” or ”Diverges.”?1.∞∑n=1n(n+1)3n?2.∞∑n=1nn2-2n+6?3.∞∑n=31nlnnln(lnn)Note:You only have two attempts at this problem.Correct Answers:•Converges•Diverges•Diverges13.(1 pt) Select the FIRST correct reason why the givenseries converges.
14.(1 pt) For each of the series below select the letter from ato c that best applies and the letter from d to k that best applies.A possible answer is af, for example.A. The series is absolutely convergent.B. The series converges, but not absolutely.C. The series diverges.D. The alternating series test shows the series converges.E. The series is ap-series.F. The series is a geometric series.G. We can decide whether this series converges by com-parison with apseries.H. We can decide whether this series converges by com-parison with a geometric series.I. Partial sums of the series telescope.J. The terms of the series do not have limit zero.K. None of the above reasons applies to the convergenceor divergence of the series.