讨论函数f(x,y)=xy/(2-根号(4+xy)),xy不等于0;4,xy=0,在点(0,0),(1,0),(1,2)处的连续性

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讨论函数f(x,y)=xy/(2-根号(4+xy)),xy不等于0;4,xy=0,在点(0,0),(1,0),(1,2)处的连续性
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讨论函数f(x,y)=xy/(2-根号(4+xy)),xy不等于0;4,xy=0,在点(0,0),(1,0),(1,2)处的连续性
讨论函数f(x,y)=xy/(2-根号(4+xy)),xy不等于0;4,xy=0,在点(0,0),(1,0),(1,2)处的连续性

讨论函数f(x,y)=xy/(2-根号(4+xy)),xy不等于0;4,xy=0,在点(0,0),(1,0),(1,2)处的连续性
f(x,y)={xy/[2-√(4+xy)]=-2-√(4+xy),xy≠0;
{4,xy=0,
在点(0,0),(1,0)处不连续,在(1,2)处连续.