MAT237Y1 Lecture 5: MAT237 LEC 5-6

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25 Jan 2019
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R is bounded on cab and cts at finitely many points then f. Define a set s c r has zero content if. Zero content so smart as to be negligible forintegration. Pf given e o consider 2 cp ee pti. Note in deth of zero content intervals should always be closed. Pa i e a set w finitely many points claim zero content pf given e o. Then and hold define ij cpj 0 bt because i elements in s. Pf given eso defined let lo c e i to contains au but finitely many points in s since n 3. R is bounded on cab and cts ooo a then f if f cab zero content is itg set of. Idea similar to the theorem of last lecture non integrable function. Example of a or f i co i fix e f l e q.

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