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Determine the Minimal Number of Terms Required to Approximate the Sum

question 100

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Determine the minimal number of terms required to approximate the sum of the series with an error of less than 0.007.
n=1(1) n+1n3\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n + 1 } } { n ^ { 3 } }


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