Find the Radius of Convergence and the Interval of Convergence $$\sum _ { n = 2 } ^ { \infty } \frac { x ^ { n } } { n ( \ln n ) ^ { 8 } }$$

question 43

Multiple Choice

Find the radius of convergence and the interval of convergence of the power series. Select the correct answer.
$$\sum _ { n = 2 } ^ { \infty } \frac { x ^ { n } } { n ( \ln n ) ^ { 8 } }$$

• A) \(R = 0 , I = \{ 0 \}\)
• B) \(R = 1 , I = [ - 1,1 ]\)
• C) \(R = 1 , I = ( - 1,1 )\)
• D) \(R = \infty , I = ( - \infty , \infty )\)

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