一个求幂指函数的极限定理及其应用

A Theorem of Calculating Limit of Power Exponential Function and Its Application

给出了一个关于求幂指函数极限的定理。通过该定理,把求幂指函数的极限转化为求两个函数乘积的极限,从而避免了在应用第二重要极限时"凑指数"的繁琐过程。给出的例子说明了这种方法的简洁性。

A theorem of calculating limit of power exponential function was given in this paper. By this theorem, the limit of power exponential function was transformed into the product＇s limit of two functions so that the complex steps of making up index were avoided by means of the second important limit. The given examples have illustrated the conciseness of using this theorem to calculate limit of power exponential function.