Pt consider the series n 1 n 6 n 2 4 determine

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8.(1 pt) Consider the seriesn=1n6n2+4Determine whether the series converges, and if it converges,determine its value. If the sum does not converge, enterDNE.Value (orDNE):(1 pt) Find the value of the integralZ2dx3x(ln(3x))2.Determine whether the seriesn=213n(ln(3n))29.(1 pt) Find the sum of the following infinite series. If it isdivergent, type ”Diverges” or ”D”.Sum:10.(1 pt) Given:An=4096n/282nDetermine:(a) whethern=1(An)is convergent.11.(1 pt) Find the value ofZ13ln(x)x5Determine whethern=1(3ln(n)n5)Enter A if series is convergent, B if series is divergent.12.(1 pt) Find the values ofpfor which the series converges.13.(1 pt) Find the value of the integralZ2dx3x(ln(3x))2.Determine whether the seriesn=213n(ln(3n))2

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