(a) Verify that the in?nite series 2 ?g converges. A computer gives the approximate n22 \ value .8477 6 to 5 digit accuracy for the sum of this series. Find a speci?c partial sum which is guaranteed to give this number to 5 digit accuracy. Give evidence supporting your assertion. 00 Verify that the in?nite series 2 1 diverges. A computer gives the approximate n22 n?/1n(n) value of 4.74561 for the 10,000th partial sum. Are the partial sums of this series un? bounded? If yes, ?nd a speci?c partial sum which is guaranteed to be greater than 100. Give evidence supporting your assertion. Comment In neither case is the ?best possible? partial sum requested. Supporting evidence must be presented for the two partial sums given.
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Oct 14, 2020EXPERT
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