p-Series 2: For the convergent p-series with p = 1.05, a. Find S100. Find the upper and
Chapter 12, Problem 14(choose chapter or problem)
p-Series 2: For the convergent p-series with p = 1.05, a. Find S100. Find the upper and lower bounds for R100, the remainder after S100, by comparison with appropriate improper integrals. Average these bounds to find an estimate for R100. Use the answer to find an approximation for S, the number to which the series converges. What is the maximum error this approximation could have? b. Using the technique of part a, determine the number of terms you would have to add to estimate S correctly to five decimal places (Rn < 0.000005). Why does it take more terms to get a given accuracy with p = 1.05, as in this problem, than it does with p = 3, as in 13?
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