高等数学洛必达法则求极限的注意事项探讨

Exploration on the Matters Needing Attention in Computing Limits with L'Hpital's Rule in Higher Mathematics

洛必达法则是求取未定式极限的一种有效方法,但是它并不是万能的,一旦在计算中使用不当,就会引起错误结果或者是循环计算,得不出有效结果。下面本文就对高等数学中运用洛必达法则求极限的注意事项进行简单探讨。

L＇Hopital＇s rule is an effective but not an all-purpose method of computing limits of indeterminable forms, as the im- proper use of it in computing can lead to wrong results or circular computations which will not produce valid results. Therefore, the matters needing attention in computing limits with L＇Hopital＇s rule in higher mathematics are briefly discussed in this paper.