【摘要】 极限理论是微积分学的理论基础,而数列极限是其中最基础也是最重要的一个部分,准确深入理解数列极限的概念对微积分的学习具有重要作用.本文用集合给出数列极限的另一个定义,它与数列极限的ε-N定义等价,其应用可以使数列极限的验证过程的逻辑关系更为清晰.更多还原

【Abstract】 Limit theory is the theoretical basis of calculus, and sequence limit is one of the most basic and important part. Accurate understanding of the concept of sequence limit plays an important role in learning calculus. This paper gives another definition of the limit of the sequence of numbers by using the set,which is the equivalence of the ε-N definition of sequence limit,and its application can make the logic of the proof procedure of sequence limit clearer.更多还原