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E Problem 3 (10pt). Let E C R* be a measurable set with zero measure and f : R* - R be an non-negative function.
E Problem 3 (10pt). Let E C R* be a measurable set with zero measure and f : R* - R be an non-negative function. Assume f(x) = 0 for all x & E. (1) Show that the function f is measurable. (2) Show that SE f = 0
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