求极限 lim x→0 y→0[x^2+y^2+5/x+y sin(x+y)] 不懂极限,

来源:学生作业帮助网 编辑:作业帮 时间:2024/06/01 19:28:49
求极限 lim x→0 y→0[x^2+y^2+5/x+y sin(x+y)] 不懂极限,
x){ټƗ3'(d*Tkhx>m⳥{s)3_.|'ڀ63 2J0sɓ/a@_~Oϋ`=ٱ bPYgÓK.:pO7lDv/f

求极限 lim x→0 y→0[x^2+y^2+5/x+y sin(x+y)] 不懂极限,
求极限 lim x→0 y→0[x^2+y^2+5/x+y sin(x+y)] 不懂极限,

求极限 lim x→0 y→0[x^2+y^2+5/x+y sin(x+y)] 不懂极限,
lim[ x→0 y→0][x^2+y^2+5/(x+y) sin(x+y)]
=lim[ x→0 y→0][x^2+y^2]+5lim[ x→0 y→0]sin(x+y)/(x+y)]
=5

这个的答案应该是无穷。很容易(我怀疑楼主打错题目了):x^2 y^2 ysin(x+y)三项的值都是零,而5/x为无穷,所以该题的极限就是无穷。