Find the Radius of Convergence and the Interval of Convergence $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x - 8 ) ^ { n } } { \sqrt { n } }$

question 30

Multiple Choice

Find the radius of convergence and the interval of convergence of the power series. $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x - 8 ) ^ { n } } { \sqrt { n } }$

• A) \(R = 1 , I = [ 7,9 )\)
• B) \(R = 1 , I = ( 7,9 ]\)
• C) \(R = 8 , I = [ - 8,8 )\)
• D) \(R = 8 , I = ( - 8,8 )\)

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