Convergence For $f ^ { \prime } ( x )$

question 50

Multiple Choice

$\text { Consider the function given by } f ( x ) = \sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n + 1 } ( x - 6 ) ^ { n } } { n } \text {. Find the interval of }$ convergence for $f ^ { \prime } ( x )$ .

• A) \([ - 6,6 ]\)
• B) \([ 5,7 ]\)
• C) \(( 0,7 )\)
• D) \(( - 6,6 )\)
• E) \(( 5,7 )\)

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