设f(x)在[0,1]上有定义,且exf(x)与e-f(x)在[0,1]上单调增加,证明:f(x)在[0,1]上连续.

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问题 设f(x)在[0,1]上有定义,且exf(x)与e-f(x)在[0,1]上单调增加,证明:f(x)在[0,1]上连续.

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