Find the Interval of Convergence Of $\sum _ { n = 0 } ^ { \infty } \frac { n } { 4 ^ { n } } ( x + 3 ) ^ { n }$

question 272

Multiple Choice

Find the interval of convergence of $\sum _ { n = 0 } ^ { \infty } \frac { n } { 4 ^ { n } } ( x + 3 ) ^ { n }$ .

• A) \(( - 3,3 )\)
• B) \([ - 3,3 )\)
• C) \([ - 3,3 ]\)
• D) \(( - 3,3 ]\)
• E) \(( - 7,1 )\)
• F) \([ - 7,1 )\)
• G) \([ - 7,1 ]\)
• H) \(( - 7,1 ]\)

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