放大法在判别函数项级数(函数列)一致收敛时的应用

The adhibition of magnify on differentiation of consistent convergence about function term progression

一致收敛是函数项级数的一个重要性质。有效地判别函数项级数的一致收敛对进一步研究函数项级数的性质起着重要的作用。在判别函数项级数(函数列)一致收敛时,需要对某些表达式进行适当放大,从而达到判别函数项级数(函数列)一致收敛,这种方法叫放大法,而实现放大有许多技巧,作者通过例子说明放大法在判别函数项级数一致收敛时的应用。

Consistent convergence is a very important character of function term progression. It＇s helpful to study the character of function term progression further due to the effective of consistent convergence about function term progression. When differentiating it, we need to magnify some expressions applicably. This method is called magnify. But it needs many skills to make it come true, The article explains the skills of magnify in the adhibition of differentiation function term progression with examples.