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Find the Interval of Convergence of the Power Series n=1(1)n(x2)nn3\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x - 2 ) ^ { n } } { \sqrt [ 3 ] { n } }

Question 289

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Find the interval of convergence of the power series n=1(1)n(x2)nn3\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x - 2 ) ^ { n } } { \sqrt [ 3 ] { n } } .

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