分段函数的分析性质探究

分段函数的分析性质是数学分析中极其重要的内容，理解和掌握好分段函数的性质对于以后的数学学习具有重要的作用。
本文主要讨论了分段函数的分析性质，首先讨论了有关于函数的基本性质及其常用定理，然后给出了分段函数分析性质的有关问题，包括分段函数的极限、连续性、可导性、可积性以及不定积分，这些性质为以后其他有关问题的研究奠定了基础。为学生以后的数学学习提供了很大的帮助。

关键词：分段函数；极限；连续性；可导性；可积性；不定积分
ABSTRACT

 In mathematical analysis, the analysis of the nature of piecewise function is a very important element to understand and grasp the nature of piecewise sentence on future mathematics learning has an important role.
This paper mainly discusses the analysis of the nature of piecewise functions, first discussed about the basic nature of their common functions theorem then gives piecewise analytic properties of the relevant issues, including the limits of piecewise functions, piecewise continuous function sex, sexual piecewise function differentiable, piecewise functions and piecewise functions integrability indefinite integral, these properties other related issues for future research foundation. After the students learning mathematics, has a very important help.
Keywords: piecewise functions; limits; continuity; differentiability; integrability; indefinite integral

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