The series S = k=1 k3 has been computed to more than 100 million digits. The first 30

Chapter 10, Problem 94

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The series S = k=1 k3 has been computed to more than 100 million digits. The first 30 digits are S = 1.202056903159594285399738161511 Approximate S using Kummers Acceleration Method of Exercise 93 with M = 100 and auxiliary series R = n=1 (n(n + 1)(n + 2))1. According to Exercise 54 in Section 10.2, R is a telescoping series with the sum R = 1 4

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