Find the Infinite Sum Accurate to Three Decimal Places$$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { 1 } { ( 4 n + 1 ) ^ { 3 } }$$

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The Answer of Find the Infinite Sum Accurate to Three Decimal Places$$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { 1 } { ( 4 n + 1 ) ^ { 3 } }$$

Find the Infinite Sum Accurate to Three Decimal Places $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { 1 } { ( 4 n + 1 ) ^ { 3 } }$

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Find the Infinite Sum Accurate to Three Decimal Places ∑n=1∞(−1)n1(4n+1)3\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { 1 } { ( 4 n + 1 ) ^ { 3 } }n=1∑∞​(−1)n(4n+1)31​

Definitions:

Find the Infinite Sum Accurate to Three Decimal Places $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { 1 } { ( 4 n + 1 ) ^ { 3 } }$