In this paper, infinitesimal classification is given and theorem condition of equivalentinfinitesimal replacement is simplified, thus, this theorem is easy to operate.
对无穷小提出了新的分类法，并对等价无穷小替换定理的条件进行了简化，从而使得该定理应用更加方便。
2
Several methods about limit of power-exponent function are provided. Especially, the application of equivalentinfinitesimal replacement is proved. And the theory is described by some examples.