求lim(x,y)~(0,1)1-xy/x^2+y^2的极限,要详解

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/27 05:09:30
求lim(x,y)~(0,1)1-xy/x^2+y^2的极限,要详解求lim(x,y)~(0,1)1-xy/x^2+y^2的极限,要详解求lim(x,y)~(0,1)1-xy/x^2+y^2的极限,要

求lim(x,y)~(0,1)1-xy/x^2+y^2的极限,要详解
求lim(x,y)~(0,1)1-xy/x^2+y^2的极限,要详解

求lim(x,y)~(0,1)1-xy/x^2+y^2的极限,要详解
lim{(x,y)→(0,1)}(1-xy)/(x²+y²) = (1-0)/(0+1) = 1

将x=0,y=1代入其中即可,为
(1-0)/(0+1)=1