Find the Fourth Degree Taylor Polynomial Centered At $c = 7$

question 162

Multiple Choice

Find the fourth degree Taylor polynomial centered at $c = 7$ for the function. $f ( x ) = \ln x$

• A) \(\ln 7 - \frac { 1 } { 7 } ( x - 7 ) - \frac { 1 } { 98 } ( x - 7 ) ^ { 2 } - \frac { 1 } { 1029 } ( x - 7 ) ^ { 3 } - \frac { 1 } { 9604 } ( x - 7 ) ^ { 4 }\)
• B) \(\ln 7 + 7 ( x - 7 ) - 98 ( x - 7 ) ^ { 2 } + 1029 ( x - 7 ) ^ { 3 } - 9604 ( x - 7 ) ^ { 4 }\)
• C) \(\ln 7 + \frac { 1 } { 7 } ( x - 7 ) - \frac { 1 } { 98 } ( x - 7 ) ^ { 2 } + \frac { 1 } { 1029 } ( x - 7 ) ^ { 3 } - \frac { 1 } { 9604 } ( x - 7 ) ^ { 4 }\)
• D) \(\ln 7 - 7 ( x - 7 ) + 98 ( x - 7 ) ^ { 2 } - 1029 ( x - 7 ) ^ { 3 } + 9604 ( x - 7 ) ^ { 4 }\)
• E) \(\ln 7 - \frac { 1 } { 7 } ( x - 7 ) + \frac { 1 } { 98 } ( x - 7 ) ^ { 2 } - \frac { 1 } { 1029 } ( x - 7 ) ^ { 3 } + \frac { 1 } { 9604 } ( x - 7 ) ^ { 4 }\)

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