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Unformatted text preview: norm dened by  f  H = p ( f,f ) H . (It may be helpful to know that R  ex 2 / 2 dx = .) 3. Find coecients a2 ,a1 ,a ,a 1 such that a2 f ( x2 h ) + a1 f ( xh ) + a f ( x ) + a 1 f ( x + h ) approximates f ( x ) with an error 0( h 3 ). expressions you need well dened). 4. Let f be 4 times dierentiable with a bounded 4th derivative. Show that h2 ( f ( x + h ) + f ( xh )2 f ( x )) = f 00 ( x ) + O ( h 2 ) ( f 00 is a second derivative). 1...
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This note was uploaded on 01/21/2012 for the course MATH 128A taught by Professor Rieffel during the Fall '08 term at University of California, Berkeley.
 Fall '08
 Rieffel
 Math, Numerical Analysis

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