Find the Radius of Convergence Of $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x + 2 ) ^ { n } } { \sqrt { n } 3 ^ { n } }$

question 267

Multiple Choice

Find the radius of convergence of $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } ( x + 2 ) ^ { n } } { \sqrt { n } 3 ^ { n } }$ .

• A)0
• B)1
• C)2
• D)3
• E)4
• F)5
• G)6
• H) \(\infty\)

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