一类递推数列极限问题的推广与应用

Application and Popularization of the limit of One Kind Recurrence Sequence

求递推数列的极限是数学分析教材和一些高校硕士研究生入学考试中经常出现的问题.通过对一类递推数列的极限问题作推广,对推广的结论给出了具体应用.

To calculate the limit of a recurrence sequence is the most common course in Maths Analysis teaching book, which is also very probably to appear in the postgraduate entrance examination. This paper has made a popularization to the limit of one kind recurrence sequence and provided practical application.