Find the Radius of Convergence of the Series $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 3 } x ^ { n } } { 2 ^ { n } }$

question 24

Multiple Choice

Find the radius of convergence of the series. $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { 3 } x ^ { n } } { 2 ^ { n } }$

• A) \(R = 0\)
• B) \(R = \infty\)
• C) \(R = 1\)
• D) \(R = \frac { 1 } { 2 }\)
• E) \(R = 2\)

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