摘要
在众多教材中,仅仅指出了2个幂级数的和在某区间内收敛,而没有对这2个幂级数的和的收敛区间加以说明,因此关于2个幂级数的和的收敛半径往往会产生想当然的结论.为此,文中指出了2个幂级数的和的收敛半径的可能性,并举例予以说明.
In numerous teaching materials, it only point out the sum of two power series is convergence in an open interval, and it has not the elucidation about convergence radius of the sum of two power series. So it often can have the conclusion which takes for granted about the convergence radius of the sum of two power series. For this, pointed out the possibility of the convergence radius to the sum of two power series, and given explanation by some example.
出处
《高师理科学刊》
2008年第3期86-87,共2页
Journal of Science of Teachers'College and University
关键词
幂级数
幂级数和
收敛半径
power series
sum of power series
convergence radius