应用洛必达法则求极限时需注意的问题

Issues on the Application of L' Hospital's Rule in Functional Limit Calculation

函数极限的计算在高等数学的教学中占有重要的地位,其求解的方法有很多,而洛必达法则是最主要的方法之一。本文对洛必达法则在求极限中的运用,通过具体的例题阐述了在计算时应注意的问题,让学生更深入地理解法则的条件,从而使学生应用法则进行问题解决的能力提高。

The calculation of functional limit plays an important role in advanced mathematics teaching. There are many approaches to calculate functional limit and L＇ Hospital＇s rule is one of its leading approaches. On the application of L＇ Hospital＇s rule in functional limit calculation, the paper elaborates issues that should be noted about through specific examples, so that students can have a deeper understanding of this rule and thus their ability to apply this rule in problem solving be improved.