试论利用函数连续性求极限

CALCULATION OF LIMIT WITH THE FUNCTION CONTINUITY

根据连续函数的性质 ,对两个重要极限的应用作了进一步探讨 ,并给出其规律性 .对于处理“00 ”,“ 1∞”未定型的极限起到了重要的作用 .尤其对数列求极限 ,罗必塔法则失效 ,更显示出优越性 .

This article discusses the application of two important limits and summaries up its rules with the properties of continuous function. This article is helpful to calculate indefinite form of limits 00 and 1 ∞ . The calculating method in this article shows its superiority especially in calculating the limit of a sequence of number where the Rule of L'Hospital can't be applied.