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8 For #14‐15, let f ( x ) = sin x . 14) Which of the following is the fourth order Taylor polynomial generated by f ( x ) at x = π⎞ ⎛ π⎞
⎛
⎜x− ⎟ ⎜x− ⎟
π⎞ ⎝
2⎠ ⎝
2⎠
⎛ +
⎜x− ⎟−
2⎠
2!
4!
⎝
2 (a) π⎞ ⎛ π⎞
⎛
⎜x− ⎟ ⎜x− ⎟
2⎠ ⎝
2⎠
1+ ⎝
+ 2!
4!
2 (b) 4 π⎞ ⎛ π⎞
⎛
⎜x− ⎟ ⎜x− ⎟
2⎠ ⎝
2⎠
1− ⎝ +
2!
4!
2 (c) 4 4 (d) π⎞ ⎛ π⎞
⎛
1− ⎜ x − ⎟ + ⎜ x − ⎟ 2⎠ ⎝
2⎠
⎝ (e) π⎞ ⎛ π⎞
⎛
1+ ⎜ x − ⎟ + ...
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This note was uploaded on 05/19/2013 for the course MATH AP Calc BC taught by Professor Paulbattaglia during the Fall '12 term at Manasquan High.
 Fall '12
 PaulBattaglia
 Taylor Series, AP Calculus

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