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Unformatted text preview: f( ) x x 2 11 does not converge when g( ) x x f( ) x . Perhaps f(x) will converge with a different g(x). #4 (15%) Let x = 45.9688 and y = 45.9445. If our computer can only store 4 digits, what is the relative error for x and y when we represent the numbers using our computer. Compute z = (x  y) + 0.01946. What is the relative error of z. How many digits of significance does z have. #5 (15%) What is the rate of convergence for f(n). f(n) converges to 0 but at what rate O(?). Recall n converges to with rate n if n . n k for some constant k f( ) n . ( ) n 2 ( ) n 4 n 3 #6 (15%) What is the error of f(x,y) if x = 5 and y = 2 where x has an error of 10% and y 50%. f( ) , x y x 2 x 6 . 1 10 y...
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This note was uploaded on 09/16/2011 for the course EGN 3420 taught by Professor Staff during the Spring '08 term at University of Central Florida.
 Spring '08
 Staff

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