数列极限的几种特殊求解方法

Some Special Methods for Getting Limit of a Sequence Solution

求解数列的极限问题有时比较困难,没有一般规律可循。但只要注意发现和利用数列的特性,选择适当的方法和运用一些技巧就能很容易求解。讨论了几种数列极限的特殊求解方法:比较法、定积分法和忽略高阶无穷小法,对求解无穷项和的极限很有帮助。

Sometimes,getting limit of a sequence solution is more troublesome,even has no law.However,pay attention to finding and using the characters of sequence of number,and then choosing the adequate methods and using some skill will take the solution easy.This paper discusses some special methods for getting limit of a sequence solution such as comparative method,definite integral method,ignore higher order of infinitesimals.They are very helpful for getting limit of a sequence solution.