一类函数的幂级数展开式在收敛区间端点收敛性的讨论

On Convergence of the Power Series Expansion of a Function at the Endpoints of its Convergence Interval

本文在莱布尼茨判别法和拉贝判别法的基础上,针对某些不同的m,给出函数(1+x)^(m)的幂级数展开式在端点对应级数的收敛性证明.

Using Leibniz's test and Raabe's test,this paper discusses the convergence of the power series expansion of (1+x)^(m) at the end points of its convergence interval.