Determine the Radius of Convergence for the Given Power Series $\sum _ { k = 0 } ^ { \infty } \frac { k x ^ { k } } { 4 ^ { k + 1 } }$

question 8

Multiple Choice

Determine the radius of convergence for the given power series. $\sum _ { k = 0 } ^ { \infty } \frac { k x ^ { k } } { 4 ^ { k + 1 } }$

• A) \(R =\) 4
• B) \(R =\) \(\infty\)
• C) \(R = \frac { 1 } { 4 }\)
• D) \(R =\) 0

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