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Would you like this assignment to be marked?YESNOMA104 Lab Report 8 - Tests for Convergence; Strategies for Testing SeriesName:Student Number:Winter 20171. [9marks]Consider the seriess=n=1anwherean=n!nnsinπ2(2n+ 1) .(a) Use the Alternating Series Test to determine if the seriessconverges.Letbn=n!nn(ii)limn→∞bn= limn→∞n!nn→∞nn×n-11
(b) Determine the minimum number of terms required insk,thekthpartial sum ofs,so thatskis guaranteedto approximateswithin 0.01.[Hint:bnis decreasing and, therefore, trial and error may be useful.]

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