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Find the Interval of Convergence of the Series n=1(1)nxnn+3\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { n } } { n + 3 }

Question 34

Multiple Choice

Find the interval of convergence of the series. Select the correct answer.
n=1(1) nxnn+3\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { n } } { n + 3 }


A) [1,1][ - 1,1 ]
B) (1,1) ( - 1,1 )
C) (1,1]( - 1,1 ]
D) diverges everywhere
E) [1,1) [ - 1,1 )

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