球面坐标在求多元函数极限中的应用

The Application of spherical coordinates in the Limit of Function of Many Variables

运用球面坐标把多元函数极限的判断及求法转化为一元函数极限的判断及求法,并给予证明,从而方便地判断多元函数极限的存在与否,并能顺利求出极限.

This article tanslates the method of judging and requesting the limit of function of many variables into the method of judging and requesting the limit of one-variable function by spherical coordinates ,then proves it. Accordingly makes it convenient in judging the existence of the limit of function of many variables,and makes it favoring when requestion timit.