求二元函数极限 x→0,y→0,lim [(x+y)sin(1/x)cos(1/y)]

问题描述:

求二元函数极限 x→0,y→0,lim [(x+y)sin(1/x)cos(1/y)]
1个回答 分类:数学 2014-09-17

问题解答:

我来补答
f(x,y) = (x+y)sin(1/x)cos(1/y)
0 ≤ | f(x,y)| ≤ |x+y| ≤ |x| + |y| -> 0
原式 = 0
 
 
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