數列極限概念的新視角探析
2018-11-20 11:49:10龍志文
教育教學論壇 2018年48期
龍志文
摘要：本文從新視角得到了一特殊數列極限的精確數學定義，然后說明其與數列極限描述性定義之間的等價性，并把其分析思路推廣到一般數列極限的情況，從而較好地解決了兩種數列極限定義的銜接問題。最后對數列極限的精確數學定義進行了較深入的剖析。
關鍵詞：數列；極限；銜接
中圖分類號：0172.1.G642 文獻標志碼：A 文章編號：1674-9324（2018）48-0190-02
Abstract：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.
Key words：sequence；limit；cohesion
