数列极限概念的新视角探析

A New Perspective of Exploration and Analysis of Limit of Sequence

本文从新视角得到了一特殊数列极限的精确数学定义,然后说明其与数列极限描述性定义之间的等价性,并把其分析思路推广到一般数列极限的情况,从而较好地解决了两种数列极限定义的衔接问题。最后对数列极限的精确数学定义进行了较深入的剖析。

In this paper,the exact mathematics definition of a special sequence limit,which is illustrated to equate to the discriptive definition of limite,was obtained from a new perspective.Moreover,the analytic view is generalized to general sequence limit.Thus we can better solve the linking problem between the exact mathematics definition of sequence limit and the discriptive definition of limite.Finally thorough analysis of the exact mathematics definition of sequence limit was given.