∞∑n=0(a_(n)±b_(n))x^(n)型幂级数收敛域的求法

On the Convergence Domain of the Power Series∞∑n=0(a_(n)±b_(n))x^(n)

利用数项级数的性质和Abel定理给出了∞∑n=0(a_(n)±b_(n))x^(n)型幂级数收敛域的相关定理,进而提出了这类幂级数收敛域的求法,并举例进行了论证说明.

In this paper,using properties of series of number terms and Abel's theorem,the related theorems and methods for the convergence domain of the power series∞∑n=0(a_(n)±b_(n))x^(n)are given and demonstrated by some examples.