求下列极限 1.lim x→0y→2 sin(xy)/x 2.lim x→0y→0 (2-√(xy+4))/xy3.lim x→0y→0(x^2y)/(x^3-y^3) 4.limx→0y→1 xy*sin(1/(x^2+y^2))
来源:学生作业帮助网 编辑:作业帮 时间:2024/08/28 09:40:22
求下列极限 1.lim x→0y→2 sin(xy)/x 2.lim x→0y→0 (2-√(xy+4))/xy3.lim x→0y→0(x^2y)/(x^3-y^3) 4.limx→0y→1 xy*sin(1/(x^2+y^2))
求下列极限 1.lim x→0y→2 sin(xy)/x 2.lim x→0y→0 (2-√(xy+4))/xy
3.lim x→0y→0(x^2y)/(x^3-y^3) 4.limx→0y→1 xy*sin(1/(x^2+y^2))
求下列极限 1.lim x→0y→2 sin(xy)/x 2.lim x→0y→0 (2-√(xy+4))/xy3.lim x→0y→0(x^2y)/(x^3-y^3) 4.limx→0y→1 xy*sin(1/(x^2+y^2))
1
lim x→0y→2 sin(xy)/x
=lim x→0y→2 (xy)/x
=lim x→0y→2 y
= 2
2
lim x→0y→0 (2-√(xy+4))/xy
= lim x→0y→0 (4-(xy+4))/[(xy)·(2+√(xy+4))]
= lim x→0y→0 -(xy)/[(xy)·(2+√(xy+4))]
= lim x→0y→0 -1/[(2+√(xy+4))]
= -1/4
求下列极限:lim[(x,y)→(0,0)][1/(x^2+y^2)]
求下列各极限 lim(x,y)→(0,1) (2-xy)/(x^2+2y)
求下列极限lim(x→0)(1-cosx)/xsinx
lim(x→0y→1)(1+xe^y)^(2y+x/x)求极限
求极限:lim (x^2+y^2)^xy(x,y)lim (x^2+y^2)^xy x,y→0 这个极限是多少啊!怎么算?
证明下列极限不存在 lim(x→0,y→0) (X+Y)/(X-Y)
求下列极限 1.lim x→0y→2 sin(xy)/x 2.lim x→0y→0 (2-√(xy+4))/xy3.lim x→0y→0(x^2y)/(x^3-y^3) 4.limx→0y→1 xy*sin(1/(x^2+y^2))
求下列极限,lim(x+2sinx)/(x+3sinx),x→0烦请给出具体步骤,
用洛必达法则求下列极限(1)lim(x→0^+)lntan7x/lntan2x(2)lim(x→0)xcot2x
求极限lim(x→0,y→0)xln(x^2+y^2)的值?
求极限 lim((x,y)→(0,0)) (x^2+y^2)sin1/xy
求下列极限 lim(x→0) (sinx-xcosx)/(sinx*x^2)
求下列极限,lim e^(1/2x),x→0烦请给出具体步骤,
求极限lim(x→+∞,y→+∞) (X+Y)/(X^2-Y^2)
lim((x-y)/(x+y))求极限.(x,y)→(0,0)
求极限lim(x,y)→(+∞,+∞) [(xy)/(x^2+y^2)]^xy.求极限lim(x,y)→(+∞,+∞) [(xy)/(x^2+y^2)]^xy,
求极限lim(x,y)→(0,0)3-根号下(xy+9)/2xy求极限
lim 2x/tan3x x→0 求极限