等价无穷小代换在极限运算中的推广

On Equivalent Infinitesimal Substitutions in Limit Operation

探讨了当自变量为等价无穷小时,函数为等价无穷小关系的一个充分条件,并给出了函数等价无穷小代换的若干结论,举例说明了具体应用.

This paper discusses a sufficient condition for a function to be an equivalent infinitesimal relation when the independent variable is an equivalent infinitesimal,and gives some conclusions of the function equivalent infinitesimal substitution.