Question: -0 m(E) Jr+E (Exercise 1.6.15 in IMT) For each h > 0, let E, be a subset of B(0, h) with the property that

-0 m(E) Jr+E (Exercise 1.6.15 in IMT) For each h > 0,

-0 m(E) Jr+E (Exercise 1.6.15 in IMT) For each h > 0, let E, be a subset of B(0, h) with the property that m(En) 2 cm(B (0, h)) for somec>0 independent of h. Show that if f E L (R), and x is a Lebesgue point of f (i.e., (*) holds), then 1 lim h-0 m(E,) fM)dy = f (x). x+En

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