Which of the Following Is the Degree 3 Taylor Polynomial $a = 0$

question 61

Multiple Choice

Which of the following is the degree 3 Taylor polynomial centered at $a = 0$ for $f ( x ) = \frac { 1 - \cos x } { x }$ ?
1) $\frac { x } { 2 } - \frac { x ^ { 3 } } { 24 }$ 2) $- \frac { x } { 2 } + \frac { x ^ { 3 } } { 24 }$ 3) $x - x ^ { 3 }$

• 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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