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Find the Interval of Convergence For k=1(1)k(x3)k5k(k+1)\sum _ { k = 1 } ^ { \infty } \frac { ( - 1 ) ^ { k } ( x - 3 ) ^ { k } } { 5 ^ { k } ( k + 1 ) }

Question 126

Essay

Find the interval of convergence for k=1(1)k(x3)k5k(k+1)\sum _ { k = 1 } ^ { \infty } \frac { ( - 1 ) ^ { k } ( x - 3 ) ^ { k } } { 5 ^ { k } ( k + 1 ) } .

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