Determine the Radius of Convergence for the Given Power Series $\sum _ { k = 0 } ^ { \infty } \frac { 7 ^ { k - 1 } x ^ { k } } { k }$

question 18

Multiple Choice

Determine the radius of convergence for the given power series. $\sum _ { k = 0 } ^ { \infty } \frac { 7 ^ { k - 1 } x ^ { k } } { k }$

• A) \(R =\) 7
• B) \(R =\) \(\infty\)
• C) \(R =\) \(\frac { 1 } { 7 }\)
• D) \(R =\) 0

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