Find the Infinite Sum Accurate to Three Decimal Places $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } \frac { 1 } { n ^ { 5 } }$$

question 338

Multiple Choice

Find the infinite sum accurate to three decimal places.
- $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n + 1 } \frac { 1 } { n ^ { 5 } }$$

• A) -0.972
• B) 0.972
• C) 1.036
• D) -1.036

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