[分析] 均勻收斂 與 絕對連續

[okhunter ()]

Let f，f_1，f_2，…be Lebesgue integrable functions on [0,1], and
{f_n} converge uniformly to f.
If f_n is absolutely continuous on [0,1] for each n=1,2,...,Prove
or disprove that f is absolutely continuous on [0,1].


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