关于有理分式函数极限问题的注记

A note on the limit problem of rational fractional function

有理分式函数的极限计算问题是极限教学中的一个难点,总结了它的计算方法,并结合具体的实例探讨了它的反问题.对于自变量趋于无穷时的计算方法——分子分母同除法,将其推广应用于其它分式函数极限的求解问题.

The limit calculation of rational fractional function is a difficult problem in the limit teaching.For this problem,summarizes the calculation methods and discusses the inverse problems with specific examples.Then for the case that the independent variable tends to infinity,generalizes the method on numerator and denominator simultaneously divided to treat the limit calculation of other fractional functions.