Let F(x) = Ln X $\frac { 1 } { 2 }$

question 130

Multiple Choice

Let f(x) = ln x. Find the second Taylor polynomial of f(x) at x = 2.

• A) 1 + \(\frac { 1 } { 2 }\) (x - 2) + \(\frac { 1 } { 8 }\) \(( x - 2 ) ^ { 2 }\)
• B) ln 2 - \(\frac { 1 } { 2 }\) (x - 2) - \(\frac { 1 } { 8 }\) \(( x - 2 ) ^ { 2 }\)
• C) 1 + \(\frac { 1 } { 2 }\) (x - 2) - \(\frac { 1 } { 8 }\) \(( x - 2 ) ^ { 2 }\)
• D) ln 2 + \(\frac { 1 } { 2 }\) (x - 2) - \(\frac { 1 } { 8 }\) \(( x - 2 ) ^ { 2 }\)

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