Which of the Following Is the Degree 2 Taylor Polynomial $a = 2$

question 100

Multiple Choice

Which of the following is the degree 2 Taylor polynomial centered at $a = 2$ for $f ( x ) = \ln x$ ?
1) $\ln 2 - \frac { x - 2 } { 2 } - \frac { ( x - 2 ) ^ { 2 } } { 8 }$ 2) $\ln 2 + \frac { x - 2 } { 2 } - \frac { ( x - 2 ) ^ { 2 } } { 4 }$ 3) $\ln 2 + \frac { x - 2 } { 2 } - \frac { ( x - 2 ) ^ { 2 } } { 8 }$

• A)None
• B)1
• C)2
• D)3
• E)1, 2
• F)1, 3
• G)2, 3
• H)1, 2, 3

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