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If f is Absolutely Continuous on [a,b] and f'(x) = 0 almost everywhere then f is constant. Content Description : To show the result, we need to consider a set E of measure c-a for all c belonging to [a,b] , we have to show that f is constant that is to show f(a) = f(c) for all c belonging to [a,b]. Now we have to construct the non overlapping ...
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