This article mainly discusses about how to take advantage of infinitesimal quantity to get the limit of power-exponential function.
本文讨论了在幂指函数求极限的过程中利用等价无穷小量代换，提出了四条定理，并给出了证明。
Two mathematic methods are presented to prove that 2-parameter hyperbolic model and exponential model are the superior limit and lower limit of the corresponding new 3-parameter model respectively.
采用2种方法证明了初始导数、极限值对应相等的情况下，指数曲线模型、2参数双曲线模型分别是3参数模型的上界、下界；
Due to its unique characteristics, the calculation of the exponential function limit seems complicated. This paper discussed several simple ways to calculate the exponential function limit.
由于幂指函数形式的独特性，使得幂指函数的极限显得复杂。文中给出了求几种类型幂指函数极限的简捷方法。
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