Find the Taylor Polynomial of Order 3 Generated by F $$f ( x ) = \ln x , a = 6$$

question 52

Multiple Choice

Find the Taylor polynomial of order 3 generated by f at a.
- $$f ( x ) = \ln x , a = 6$$

• A) \(P _ { 3 } ( x ) = \frac { \ln 6 } { 6 } - \frac { x - 6 } { 36 } + \frac { ( x - 6 ) ^ { 2 } } { 216 } - \frac { ( x - 6 ) ^ { 3 } } { 1296 }\)
• B) \(\mathrm { P } _ { 3 } ( x ) = \frac { \ln 6 } { 6 } + \frac { x - 6 } { 36 } + \frac { ( x - 6 ) ^ { 2 } } { 216 } + \frac { ( x - 6 ) ^ { 3 } } { 1296 }\)
• C) \(P _ { 3 } ( x ) = \ln 6 + \frac { x - 6 } { 6 } - \frac { ( x - 6 ) ^ { 2 } } { 72 } + \frac { ( x - 6 ) ^ { 3 } } { 648 }\)
• D) \(P _ { 3 } ( x ) = \ln 6 - \frac { x - 6 } { 6 } + \frac { ( x - 6 ) ^ { 2 } } { 72 } - \frac { ( x - 6 ) ^ { 3 } } { 648 }\)

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