运用洛必达法则求解两个无穷小量之比的极限

Using the Limit L'Hospital Rule to Solve Two Infinitesimal Ratio

通过举例说明如何运用洛必达法则求解如:0/0、∞/∞、0·∞、∞-∞、0~0、1·∞、∞~0等典型两个无穷小量之比的极限,同时还列举了洛必达法则的应用条件及运用误区,并归纳了洛必达法则的运用技巧。旨在通过掌握运用洛必达法则求极限,培养高职学生的逻辑思维能力,以及准确、迅速的计算能力。

This article illustrates how to apply L＇Hospital Rule such as：0/0、∞/∞、0·∞、∞-∞、0~0、1·∞、∞~0etc.,the typical ratio of two infinitely small quantity limit,and also lists the conditions of applying L＇Hospital Rule and application errors,and summarizes the skills of the L＇Hospital rule. It aims at mastering the use of L＇Hospital Rule limit,cultivating the students＇ logical thinking ability,and the accurate and rapid calculation ability.