Unformatted text preview: Explain how you know that your answer is within .01 of R . 5 cos( x 2 ) dx . 4. (18 pts) (a) Find T 2 ( x ), the Taylor polynomial of degree 2, centered at a = 1 for f ( x ) = √ x . (b) Use the expression for the “remainder”, R n ( x ), in Taylor’s Theroem to estimate the error between T 2 (1 . 5) an √ 1 . 5. (c) Use R n ( x ) to estimate the largest possible error if you use T 2 ( x ) to estimate f ( x ) = √ x on the interval [ . 5 , 1 . 5]....
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This note was uploaded on 01/24/2011 for the course MATH 21 taught by Professor Mathdep during the Winter '98 term at Missouri S&T.
 Winter '98
 MathDep
 Maclaurin Series

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