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Determine How Many Terms Should Be Used to Estimate the Sum

question 286

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Determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001.
- n=1(1) n+18(n+n) 3\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } \frac { 8 } { ( n + \sqrt { n } ) ^ { 3 } }


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