判断高数二元函数是否连续
问题描述：
判断高数二元函数是否连续
x^2y/(x^2+y^2),x^2+y^2≠0
f(x,y)=
0 ,x^2+y^2=0
问此函数在(0,0)处是否连续?等我有钱了再报答你,
答
f(x,y) = x^2y/(x^2+y^2),0 ≤ | f(x,y) | = x²/(x²+y²) * |y| ≤ |y|lim(x,y)->(0,0) |y| = 0,利用迫敛准则,lim |f(x,y)| = 0,∴ lim f(x,y) = 0 = f(0,0)故此函数在(0,0)处连续.注：计算二重极限,...