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Unformatted text preview: bc . Page 149 Problem 3. Using the above problem (replace b by x for c < x b ) we get that F ( x ) = 0 for a x c and F ( x ) = xc for c < x b . Page 153 Problem 5. True, as by the rst problem of this assignment, we get 0 R a b f R b a f = 0. Hence the lower and upper Riemann integral of f are equal, so f is Riemann integrable. Page 165 Problem 1. Take g ( x ) = 0 for all x [ a,b ]. Let { x n : n 1 } = Q [ a,b ] and dene f ( x n ) = 1 for all n and f ( x ) = 0 for all other x [ a,b ]. Then f is not Riemann integrable, but f ( x ) = g ( x ) except for x = x n 1...
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This note was uploaded on 02/05/2012 for the course MATH 555 taught by Professor Staff during the Spring '07 term at South Carolina.
 Spring '07
 Staff
 Division, Inequalities

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