递推关系数列的极限

Limits of Recurrence-Relation Sequences

解决了由递推关系式X_(n+2)=PX_(n+1)+qX_n定义的数列{X_n}的极限的计算,并通过特殊的方法解决了一般《数学分析》教科书中的几个著名的递推关系式定义的数列极限的问题,与常规的解法比较,本文的解法简便。

This paper deals with the limit-calculation of the sequence{x_n} determined by the re-currence formula X_(n+2)=PX_(n+1)+qx_n, and by using some special methods, it also solves se- veral famous limit problems of the sequenoes determined by the recurrence formulas. Such problems often appear in the common textbook'Mathematical Analysis' Compared with the conventional methods, the methods put forward in this paper are much simpler.