hw1 - +1 ) This procedure is called Extrapolation to the...

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Homework 1 – Math 104A, Winter 2009 Due on Wednesday, January 14th, 2009 Section 1.1: 1.b, 3.a, 3.d, 4.d, 6, 9, and 13. Section 1.2: 1, 5, and 12. Section 1.3: 1, 6, 7, 9, 11, and 16. Additional problem: Assume that as h approaches zero, F ( h ) = L + Ch α + O ( h α +1 ) for some α > 0. Show that: 2 α F ( h ) - F (2 h ) 2 α - 1 = L + O ( h
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Unformatted text preview: +1 ) This procedure is called Extrapolation to the limit. What do you think this procedure is good for? Now assume that, as h approaches zero, F ( h ) = L + C 1 h 2 + C 2 h 3 + O ( h 4 ) Can you obtain an approximation to L of order O ( h 4 )? 1...
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This note was uploaded on 12/26/2011 for the course MATH 104a taught by Professor Staff during the Fall '08 term at UCSB.

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