Hyug HerMAT21C-Mulase-Spring-2017Assignment hw3-mulase due 04/24/2017 at 08:00am PDT1.(1 pt) For each of the following series, tell whether or notyou can apply the Alternating Series Test. If you can apply thistest, enter C if the series converges. If you can’t apply this test(even if you know how the series behaves by some other test),enter N.1.(1 pt) For the following alternating series,∞∑n=13(0.4)77!+...how many terms do you have to compute in order for your ap-proximation (your partial sum) to be within 0.0000001 from theconvergent value of that series?
4.∞∑n=1(-1)nn!nn5.∞∑n=1(-1)nn!en6.∞∑n=1(-1)ncos(nπ)n5Answer(s) submitted:•C•C•N•C•N•N(correct)2.(1 pt) YOU CAN IGNORE THIS PROBLEM. THERE ISAN ERROR IN IT. I WILL GIVE EVERYONE FULL CREDITFOR IT. How many terms of the series do we need to add in or-der to find the sum to the indicated accuracy?∞∑n=1(-1)n-18n4,error≤0.001.Answer:Note:Enter the smallest possible integer.Answer(s) submitted:•(correct)3.(1 pt) Determine whether the following series is∞∑n=2(-1)n1√n2-1•A. conditionally convergent•B. absolutely convergent•C. divergentAnswer(s) submitted:•A(correct)4.(1 pt) For the following alternating series,∞∑n=13(0.4)77!+...how many terms do you have to compute in order for your ap-proximation (your partial sum) to be within 0.0000001 from theconvergent value of that series?
5.(1 pt) Match each of the following with the correct state-ment.A. The series is absolutely convergent.C. The series converges, but is not absolutely convergent.D. The series diverges.1.∞∑n=1(-1)n7n+62.∞∑n=1(n+1)(82-1)n82n3.∞∑n=1(-2)nn74.∞∑n=1(-1)n√nn+25.∞∑n=1sin(2n)n2Answer(s) submitted:•C•A•D•C•A(correct)