Find the Radius of Convergence of the Series $$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { ( x + 10 ) ^ { n } } { n 6 ^ { n } }$$

question 134

Multiple Choice

Find the radius of convergence of the series. Select the correct answer.
$$\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { ( x + 10 ) ^ { n } } { n 6 ^ { n } }$$

• A) \(( - 8,6 ]\)
• B) \(( 2,14 ]\)
• C) \(( - 14 , - 2 )\)
• D) \([ - 16 , - 4 )\)
• E) \([ - 1,1 ]\)

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