Unformatted text preview: (c) For every Ç« > 0 there exists a Î´ such that | x âˆ’ y | < Î´ implies | f ( x ) âˆ’ f ( y ) | < Ç«. (d) sup x âˆˆ [ a,b ] f ( x ) < âˆž . (e) f is Riemann integrable, that is: âˆ€ Ç« > 0 there exists P âˆˆ P [ a,b ] such that U ( f,P ) âˆ’ L ( f,P ) < Ç«. 1...
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This note was uploaded on 07/25/2008 for the course MATH 421 taught by Professor Promislow during the Fall '07 term at Michigan State University.
- Fall '07