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

question 88

Multiple Choice

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

• A) \(0.587 < S < 3.473\)
• B) \(1.549 < S < 2.511\)
• C) \(1.309 < S < 2.751\)
• D) \(0.427 < S < 3.633\)
• E) \(0.227 < S < 3.833\)

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