单选题:下列命题正确的是(  )。

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题目内容:
下列命题正确的是(  )。 A.分段函数必存在间断点
B.单调有界函数无第二类间断点
C.在开区间连续,则在该区间必取得最大值和最小值
D.在闭区间上有间断点的函数一定有界

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