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Find the Sum of the Series n=0(1)nπ2n+132n(2n+1)!\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } \pi ^ { 2 n + 1 } } { 3 ^ { 2 n } ( 2 n + 1 ) ! }

Question 69

Short Answer

Find the sum of the series n=0(1)nπ2n+132n(2n+1)!\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } \pi ^ { 2 n + 1 } } { 3 ^ { 2 n } ( 2 n + 1 ) ! } .

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