Determine the Radius of Convergence for the Given Power Series $\sum _ { k = 0 } ^ { \infty } \frac { k ! x ^ { k } } { 6 ^ { k } }$

question 14

Multiple Choice

Determine the radius of convergence for the given power series. $\sum _ { k = 0 } ^ { \infty } \frac { k ! x ^ { k } } { 6 ^ { k } }$

• A) \(R =\) \(\frac { 1 } { 6 }\)
• B) \(R =\) 6
• C) \(R =\) \(\infty\)
• D) \(R =\) 0

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