一道大学生数学竞赛题的另解

Another Method to Solve a Problem in an International Mathematics Competition for College Students

针对一道有关级数与极限的苏联大学生数学竞赛试题,运用泰勒展开式,对所求极限进行转换,并结合级数与积分的关系,给出一种新解法.

This paper provides a new method to solve a limit problem appeared in a mathematics competition for Soviet undergraduates. Taylor expansion and integrating series are used in our approach.