压缩映射原理在求数列极限中的应用

Contracting Mapping Principle and Limits of Sequences

讨论压缩映射原理与相关数列求极限之间的关系,并通过实例说明其应用.

Contracting mapping principle can be used to find limit of a sequence defined iteratively. The limit is usually related to the fixed point resulted from the contracting m. apping. In this paper we draw some conclusions about the limit of a sequence based on the contracting mapping principle and apply the conclusions to examples.