Find the Radius of Convergence Of $f ^ { \prime } ( x )$

question 59

Multiple Choice

Find the radius of convergence of $f ^ { \prime } ( x )$ where $f ( x ) = \sum _ { n = 0 } ^ { \infty } \left( \frac { x } { 6 } \right) ^ { n }$ .

• A)1
• B) \(\infty\)
• C) \(\frac { 1 } { 6 }\)
• D)6
• E)12

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