施笃兹定理的推广与应用

Extension and Application of The Stolz Theorem

洛必达法则是求可导连续函数未定式极限的有力工具,但对于非可导的函数或者离散型变量的情形却无能为力,施笃兹公式提供了这两种情形下极限的计算方法。本文在给出施笃兹公式的同时,通过算例将其推广到更多的情形。

L.Hospital's rule is a useful tool for finding the infinitive limit of the continuous function, but it is not suitable for the case of the non-derivative function or the discrete variable, and the stolz formula provides the calculation method of the limit in both these cases. The stolz formula is given in the paper, which is generalized to more cases by calculation examples.