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

Question

Examlex · Accepted Answer

The Answer is

0.99260

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

Definitions:

Approximate the Sum to the Indicated Accuracy ∑n=1∞(−1)n−1n7 (five decimal places) \sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n - 1 } } { n ^ { 7 } } \text { (five decimal places) }∑n=1∞​n7(−1)n−1​ (five decimal places)

Definitions:

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