p-Series 1: For the convergent p-series with p = 3, a. Find S10. Find the upper and
Chapter 12, Problem 13(choose chapter or problem)
p-Series 1: For the convergent p-series with p = 3, a. Find S10. Find the upper and lower bounds for R10, the remainder after S10, by comparison with appropriate improper integrals. Average these bounds to find an estimate for R10. 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). How does this number compare with the number of terms you would have to add if you use only the upper bound for Rn to ensure that Sn itself is correct to five decimal places
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