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Unformatted text preview: 2 , 0]:  f ( x )p ( x )  ≤ h 2 2 , where h = x i +1x i . 2 (b) Use this bound to ﬁnd a condition on n that will ensure  f ( x )p ( x )  ≤ 104 . 3 2. (25 pts) Let F ( x ) = Z x x f ( x ) dx. Use Taylor series to ﬁnd the leading term of the absolute error of Midpoint rule in one subinterval: ± ± ± ± ± Z x + h x f ( x ) dxhf ( x + h/ 2) ± ± ± ± ± . 4...
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This note was uploaded on 10/17/2010 for the course MATH 174 taught by Professor Staff during the Spring '08 term at UCSD.
 Spring '08
 staff
 Math

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