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

question 108

Multiple Choice

Which of the following is the degree 3 Taylor polynomial centered at $a = 0$ for $f ( x ) = \cos ( 2 x )$ ?
1) $1 - ( 2 x ) ^ { 2 } + 16 x ^ { 4 }$ 2) $1 - 2 x ^ { 2 } + \frac { 8 } { 3 } x ^ { 4 }$ 3) $1 - \frac { ( 2 x ) ^ { 2 } } { 2 ! }$

• 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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