Stolz公式的推广及应用

The adoption and application of formula Stolz

首先将Stolz公式推广到了函数极限的情况 ,由此得到了 ∞∞型L′Hospital法则在分子并不趋于∞时法则仍成立的结论。拓展了 ∞∞型L′Hospital法则的适用范围 ,通过实例指出了上述推广在解决某些分析数学方法的问题时所起的作用。

This paper uses formula Stolz to the condition of function limit and then proves that the rule of L′Hospital of type ∞∞is still correct,when its numerator is not close to zero.It also broadens the suitable range of the rule.It seems that the extension is useful to solve some problems of analytic mathematics through examples.