振荡间断点的几个性质

Several Properties of Oscillating Discontinuous Point

数学分析中对函数的连续性讨论较多的是连续的情形,而对间断点的讨论一般只局限于其分类,对它的性质讨论的较少。针对振荡间断点的性质讨论,有助于进一步理解函数的连续性问题。

Continuity of function is often discussed in mathematical analysis.The classification of discontinuous point is discussed more than its properties.The discussion of properties of oscillating discontinuous point is helpful in better understanding continuity of function.