6 Prove that a function f : [0, 1] → R is absolutely continuous on [0, 1] if and only if there exists a sequence fn of L
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6 Prove that a function f : [0, 1] → R is absolutely continuous on [0, 1] if and only if there exists a sequence fn of L
6 Prove that a function f : [0, 1] → R is absolutely continuous on [0, 1] if and only if there exists a sequence fn of Lipschitz functions on [0, 1] so that V(fn – f;0,1) + 0 as n + 00. (Here V(h;0, 1) denotes the total variation of a function h over the interval [0.1]) a
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