Question: . Problem 3. Define L : (0, co) - R as L(x) := - dt ( I E (0, 00)). Let a, b > 1.

. Problem 3. Define L : (0, co) - R as

. Problem 3. Define L : (0, co) - R as L(x) := - dt ( I E (0, 00)). Let a, b > 1. Show that L(ab) = L(a) + L(b). [Hint: With f integrable on [1, ab] we have fo f(t) dt = fif(t) at + So f (t ) dt.]

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