Worksheet 9.2 Taylor Polynomials - Calculus Maximus Page 7
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8Calculus Maximus
WS 9.2: Taylor Polynomials
Multiple Choice
f
f
f
,
,
, and
, then which of the following is the third-order
20. If
f
0
0
0
1
0
0
0
2
x ?
Taylor polynomial generated by
f x at
0
1
1
2
1
3
3
3
3
3
(A)
2x
x
(B)
x
x
(C)
x
x
(D)
2x
x
(E)
x
x
3
2
3
3
4
21. Which of the following is the coefficient of
x in the Maclaurin polynomial generated by
cos 3x ?
27
1
27
(A)
(B) 9
(C)
(D) 0
(E)
8
24
8
22. Which of the following is the Taylor polynomial generated by
f x
cos
x
at
x
?
2
3
4
2
4
2
4
x
x
x
x
x
x
2
2
2
2
2
2
(A)
(B)
(C)
x
1
1
2
3!
4!
2!
4!
2!
4!
3
x
2
4
2
(D)
1
x
x
(E)
x
2
2
2
6
Page 7 of 8
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