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Approximate the Sum to the Indicated Accuracy n=1(1)n1n7 (five decimal places) \sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { n ^ { 7 } } \text { (five decimal places) }

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Approximate the sum to the indicated accuracy. n=1(1)n1n7 (five decimal places) \sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { n ^ { 7 } } \text { (five decimal places) }

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