Question: Let f be a real-valued Lebesgue measurable function on [0, ) such that 1. f is Lebesgue integrable on every finite subinterval of [0,

Let f be a real-valued Lebesgue measurable function on [0, ) such

Let f be a real-valued Lebesgue measurable function on [0, ) such that 1. f is Lebesgue integrable on every finite subinterval of [0, ). 2. lim f(x) = c E R. Show that 1 lim a- a [0,a] fdL = c.

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