lim(x→0)(3xy/(x^2+y^2))
举一反三
- \({\lim_{x\to 0}}\)\({\lim_{y\to 0}}\)\(\frac{xy}{x^2+y^2}\) <br/>______
- 分解因式()x()3()y()-()2()x()2()y()2()+()xy()3()正确的是A.()xy()(()x()+()y())()2()B.()xy()(()x()2()﹣()2()xy()+()y()2())()C.()xy()(()x()2()+2()xy()﹣()y()2())()D.()xy()(()x()﹣()y())()2
- lim(x*2+y*2)sin(3x*2+y*2)
- 下列函数是多元初等函数的是( ) A: $f(x,y)=\left|x+y\right|$; B: $f(x,y)=\text{sgn}(x+y)$; C: $f(x,y)=\dfrac{\arcsin<br/>x-e^{y}}{~\ln(x^2+y^2)~}$; D: $f(x,y)=\left\{\begin{array}{cc}\dfrac{xy}{~x^2+y^2~},<br/>&x^2+y^2\neq 0; \\0, &x^2+y^2= 0. \end{array}\right.$
- 设 $D=\{(x,y)|x^2+y^2\le 4, y\ge 0\}$,则二重积分 $\iint_D xy^2dxdy=$______ .