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

Question 108

Multiple Choice

Which of the following is the degree 3 Taylor polynomial centered at a=0a = 0 for f(x) =cos(2x) f ( x ) = \cos ( 2 x ) ?
1) 1(2x) 2+16x41 - ( 2 x ) ^ { 2 } + 16 x ^ { 4 } 2) 12x2+83x41 - 2 x ^ { 2 } + \frac { 8 } { 3 } x ^ { 4 } 3) 1(2x) 22!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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