The sum has been computed to more than 100 million digits. The first 30 digits are S
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The sum has been computed to more than 100 million digits. The first 30 digits are S = 1.202056903159594285399738161511. Approximate S using Kummer’s Acceleration Method of Exercise 91 with the similar series
and M = 500. According to Exercise 60 in Section 10.2, the similar series is a telescoping series with a sum of 1/4.
Data From Exercise 91
Suppose we wish to approximate There is a similar telescoping series whose value can be computed exactly (Example 2 in Section 10.2):
Example 2 Section 10.2
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