# N 1 cos n π ln 4 2 n 1 n 1 5 3 n 11 n ln n 4 n 12 n

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1.n=1cos(nπ)ln(4)2.n=1(n)-153.n=11nln(n)4.n=12n+6(-1)n5.n=1(n+1)(42+1)n(1 pt) Find the value ofZ2dx8x(ln(7x))2Determine whethern=218n(ln(7n))2is a convergent series. Enter CONV if the series is convergent,DIV if the series is divergent.42n6.n=1(-1)n(2n)!(n!)25.(1 pt) Consider the seriesn=1anwherean=1n2-4n-3In this problem you must attempt to use the Ratio Test to decidewhether the series converges.ComputeL=limnan+1anEnter the numerical value of the limit L if it converges, INF ifit diverges to infinity, MINF if it diverges to negative infinity, orDIV if it diverges but not to infinity or negative infinity.L=Which of the following statements is true?A. The Ratio Test says that the series converges absolutely.B. The Ratio Test says that the series diverges.C. The Ratio Test says that the series converges conditionally.D. The Ratio Test is inconclusive, but the series converges ab-solutely by another test or tests.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:6.(1 pt) Find the value ofZ2dx8x(ln(7x))2Determine whethern=218n(ln(7n))2is a convergent series. Enter CONV if the series is convergent,DIV if the series is divergent.1
7.(1 pt) Compute the value of the following improper in-tegral if it converges. If it diverges, enter INF if it diverges toinfinity, MINF if it diverges to minus infinity, or DIV otherwise.Z15ln(x)x5dxDetermine whethern=15ln(n)n5is a convergent series. Enter CONV if the series is convergent,or DIV if it is divergent.