巧用等价无穷小代换法求解极限

The Skillful Application of Substitution of Equivalent Infinite Small to Solving Limit Operation

讨论了求含乘积因子的极限时如何使用等价无穷小代换简便计算,并把定理推广到无穷小的代数和运算的等价代换,给出了能用等价无穷小代换的条件.

In this paper,how to apply equivalent infinite small substitution to limit operation with product factor is discussed and the theorems are generalized to equivalent substitution of infinite small algebraic sum operation,also the conditions of equivalent infinite small substitution are given.