极限“M-语言”的定义及其应用

The Definition and Application of Limit “M-Language”

相对于传统的极限"ε-语言"的定义,我们先给出无穷大数列、无穷小数列的定义,在此基础上引入数列极限的定义,继而给出函数极限的定义,这种定义我们称为极限"M-语言"的定义,然后通过举例子对该定义加以应用.

Compared with the traditional limit definition of ＂s-language＂, we first recall the definition of infi- nite sequence. The limit of a sequence is defined on the basis of the introduction, and then we give the definition of limit of function, this definition is called the limit ＂M-language＂, and the example of application of this defini- tion is provided.