讨论分段函数在分界点处极限、连续性及导数的定理

Discussing the limit,Continuity and Derivative at the Boundary of Section Function

文章通过阐述分段函数的本质特征,给出讨论分段函数在分界点处极限、连续性及导数的定理,解决在讨论分段函数的极限、连续性及导数时,为什么要在分段函数的分界点处进行讨论以及怎样讨论的问题.

By representing the essential features of Section Function, and presenting the theorem on discussing the limit, continuity and derivative at the boundary of Section Function, the article shows the reason why to choose the boundary of Section Function to discuss, and the method how to discuss them, while discussing the limit, continuity and derivative of Section Function.