求极限lim(3-根号下x^2+y^2+9)/(x^2+y^2),x→0,y→0
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求极限lim(3-根号下x^2+y^2+9)/(x^2+y^2),x→0,y→0
![求极限lim(3-根号下x^2+y^2+9)/(x^2+y^2),x→0,y→0](/uploads/image/z/16958888-8-8.jpg?t=%E6%B1%82%E6%9E%81%E9%99%90lim%283-%E6%A0%B9%E5%8F%B7%E4%B8%8Bx%5E2%2By%5E2%2B9%29%2F%28x%5E2%2By%5E2%29%2Cx%E2%86%920%2Cy%E2%86%920)
lim(x→0,y→0)[3-√(x^2+y^2+9]/(x^2+y^2)=lim(x→0,y→0)[9-((x^2+y^2+9)]/(x^2+y^2)[3+√(x^2+y^2+9)]=lim(x→0,y→0)(-1)/[3+√(x^2+y^2+9)]=-1/6
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