二项式函数f(x)=(1+x)~α(α≠0)的幂级数展开式及其应用

Power Series Expansion of Binomial Function f(x) =(1+x)~α(α≠0) and Its Application

详细介绍了二项式函数f（x）=（1＋x）^a（a≠0）的幂级数展开式、收敛域的确定及其二项式级数在数学中的应用。

The present paper introduces in detail the power series expansion of binomial function f（x）= （1 ＋x）^a （a≠ 0）, the determination of convergence domain and the application of its binomial series in mathematics.