摘要
把看作在n元函数的自然推广,并运用n维球坐标、数学归纳法以及重极限与累次极限的关系等三种方法给出证明.
In this paperlim x→0 sin x/x=1 tox=（x1,x2,…,^lim xn）→（0,0,…,0）x1sinx1＋x2sinx2＋…＋xnsinxn/x1^2＋x2^2＋…＋xn^2=1 is applied in the function of several variables. It is proved it in three methods ： n dimensional spherical coordinates, mathematical induction method, the relationship between multiple limit and Repeated limit.
出处
《河池学院学报》
2008年第5期41-43,共3页
Journal of Hechi University
关键词
n维球坐标
数学归纳法
重极限
累次极限
n dimensional spherical coordinates
mathematical induction method
muhiple limit, Repeated limit
