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Pre-Calc Homework Solutions 395

# Pre-Calc Homework Solutions 395 - Chapter 9 Review 4x 1 x 1...

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26. } 1 4 2 x x } 5 4 x 1 } 1 2 1 x } 2 5 4 x (1 1 x 1 x 2 1 1 x n 1 ) 5 4 x 1 4 x 2 1 4 x 3 1 1 4 x n 1 1 1 27. Replace x by p x in the Maclaurin series for sin x given at the end of Section 9.2. sin p x 5 p x 2 } ( p 3 x ! ) 3 } 1 } ( p 5 x ! ) 5 } 2 1 ( 2 1) n } ( ( 2 p n x 1 ) 2 n 1 1 ) 1 ! } 1 28. Replace x by } 2 3 x } in the Maclaurin series for sin x given at the end of Section 9.2 2 sin } 2 3 x } 5 2 ( } 2 3 x } 2 1 2 1 ( 2 1) n ) 5 2 } 2 3 x } 1 } 4 8 x 1 3 } 2 } 3 4 6 x 4 5 5 } 1 1 29. 2 x 1 sin x 5 2 x 1 1 x 2 } x 3 3 ! } 1 } x 5 5 ! } 2 } x 7 7 ! } 1 1 ( 2 1) n } (2 x n 2 1 n 1 1 1)! } 1 2 5 2 } x 3 3 ! } 1 } x 5 5 ! } 2 } x 7 7 ! } 1 1 ( 2 1) n } (2 x n 2 1 n 1 1 1)! } 1 30. } e x 1 2 e 2 x } 5 } 1 2 } 1 1 1 x 1 } x 2 2 ! } 1 1 } x n n ! } 1 2 1 } 1 2 } 1 1 2 x 1 } x 2 2 ! } 1 1 ( 2 1) n } x n n ! } 1 2 5 1 1 } x 2 2 ! } 1 } x 4 4 ! } 1 1 } (2 x n 2 n )! } 1 31. Replace x by ˇ 5 w x w in the Maclaurin series for cos x given at the end of Section 9.2. cos ˇ 5 w x w 5 1 2 } ( ˇ 2 5 w ! x w ) 2 } 1 } ( ˇ 4 5 w ! x w ) 4 } 2 1 ( 2 1) n } ( ˇ (2 5 w n x w ) ) !
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