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Real Analysis : Absolutely Continuous

See attached file for full problem description. Problem 4 Only.

If f:[a,b]-->R is absolutely continuous then |f(e)| = 0 for all E ⊂ [a,b] with |E| = 0.

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Absolute continuity is investigated. The response received a rating of "5/5" from the student who originally posted the question.

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