hw1 - Homework 1 Math 104A Fall 2010 Due on Tuesday October...

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Homework 1 – Math 104A, Fall 2010 Due on Tuesday, October 5th, 2010 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 α
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Unformatted text preview: ) 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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  • Fall '08
  • Staff
  • Addition, UCI race classifications, additional problem, Math 104A

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