Math 421, Homework #2 Solutions
Math 421, Homework #2 Solutions (1) Let f: [a;b] !R be a bounded function. Assume that fhas a nite number of discontinuities, i.e. assume there exists a nite subset Eof [a;b] so that fis continuous at all x2[a;b] nE. Prove that fis integrable on [a;b]. Proof. De ne the set E 1 = E[fa;bg, and label the elements of E 1 by a= q 0 <q 1 < <q n= b ...
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