Approximate the Sum of the Series by Using the First $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n + 1 } 2 } { n ^ { 3 } }$

question 156

Multiple Choice

Approximate the sum of the series by using the first six terms. $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n + 1 } 2 } { n ^ { 3 } }$

• A) \(1.799 < S < 1.805\)
• B) \(1.794 < S < 1.806\)
• C) \(1.794 < S < 1.805\)
• D) \(1.792 < S < 1.792\)
• E)\(1.698 < S < 1.902\)

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