The value of `lim_(x->1) y^3/(x^3-y^2-1)` as `(x, y)-> (1, 0)` along the line `y = x -1` is

The value of {(x-y)^3+(y-z)^3+(z-x)^3}/{9(x-y)(y-z)(z-x)} (1) 0 (2) 1/9 (3) 1/3 (4) 1

value of x^(3)-y^(3) if (x)/(y)+(y)/(x)=-1,(x,y!=0)

if x/y + y/x = -1 ( x, y != 0 ) , then the value of x^3 -y^3 is

Let g(x,y) = (x^(2)y)/(x^(4) + y^(2)) for (x,y) ne (0,0) and f(0,0)=0. (i) Show that lim_((x,y) to (0,0)) g(x,y)=0 along every line y=mx, m in R . (ii) Show that lim_((x,y) to (0,0)) g(x,y) = k/(1+k^(2)) , along every parabola y=kx^(2), k in R{0} .

Find the value of (( x -y )^3 + ( y - z )^3 + ( z - x )^3 )/ (9 ( x - y )( y - z ) ( z - x )) 1 . 0 2 . 1/9 3 . 1/3 4. 1

The value of (1)/(x-y)|[1,0,0],[3,x^(3),1],[5,y^(3),1]| is -

If (x)/(y)+(y)/(x)=-1 , where x,y ne 0 then the value of (x^3-y^3) is

If x - (1)/(x) = y , x ne 0 , find the value of (x- (1)/ (x) - 2y ) ^(3)