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

Question 61

Multiple Choice

Which of the following is the degree 3 Taylor polynomial centered at a=0a = 0 for f(x) =1cosxxf ( x ) = \frac { 1 - \cos x } { x } ?
1) x2x324\frac { x } { 2 } - \frac { x ^ { 3 } } { 24 } 2) x2+x324- \frac { x } { 2 } + \frac { x ^ { 3 } } { 24 } 3) xx3x - 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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