In Exercises use the result of Exercise 53 to approximate the sum of the convergent series using
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In Exercises use the result of Exercise 53 to approximate the sum of the convergent series using the indicated number of terms. Include an estimate of the maximum error for your approximation.
Data from in Exercise 53
Let ƒ be a positive, continuous, and decreasing function for x ≥ 1, such that an = ƒ(n). Prove that if the series
converges to S, then the remainder RN S - SN is bounded by
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