用化归思想解决级数求和问题

Solving the Problem of Summation of Series with the Idea of Reduction

化归思想对于解决数学问题具有重要的指导意义,结合级数求和实例,总结出几种化归方法,根据题目特点,采用适当的化归方法,可以化繁为简,化难为易,有效地解决一些有难度的级数求和问题。

The idea of reduction has important guiding significance for solving mathematical problems. Combined with the example of series summation, several reduction methods are summarized. According to the characteristics of the problem, the appropriate reduction method can be used to simplify the complex, turn the difficult into the easy, and solve some difficult series summation problems effectively.