# MA104_F19.suxx3860.Homework_07_F19.pdf - Junyu Su...

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Junyu SuMA104F19Assignment Homework07F19 due 11/11/2019 at 11:59pm EST1.(1 point) Consider the seriess=n=21(2n-2)6.(a) EvaluateZ2dx(2x-2)6=(b) Given that the integral test can be applied, does the seriesconverge, diverge, or no conclusion can be made?Note: Enterconvergent,divergent, orinconclusivefor youranswer in part (b).Answer(s) submitted:1/320convergent(correct)2.(1 point) Consider the seriess=n=1(2n2e-n3).(a) EvaluateZ12x2e-x3dx=(b) Given that the integral test can be applied, does the seriesconverge, diverge, or no conclusion can be made?Note: Enterconvergent,divergent, orinconclusivefor youranswer in part (b).
convergent(correct)3.(1 point) Consider the seriess=n=178n7.(a) Compute the 6th partial sum ofs.
6=(b) Given that the integral test can be applied, determine themaximum error in usings6as an approximation ofs.R6(c) Given that the integral test can be applied, determine aninterval in which the true value ofslies.