Measurable functions
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1)
a. If g is measurable on [a, b] with g(x) 0 for all x [a, b], prove that 1/g is measurable on [a, b].
b. prove that every continuous real- valued function f on [a, b] is measurable.
c. if f is differentiable on [a, b], prove that f' is measurable on [a, b]
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