y=lim_(at)(0,0)

Evaluate: lim_((x,y)->(0,0))(x^(3)y)/(x^(4)+y^(4))

If the normal to y=f(x) at (0, 0) is given by y-x =0, then lim_(x to 0)(x^(2))/(f(x^(2))-20f(9x^(2))+2f(99x^(2))) , is

If the normal to y=f(x) at (0, 0) is given by y-x =0, then lim_(x to 0)(x^(2))/(f(x^(2))-20f(9x^(2))+2f(99x^(2))) , is

If the normal to y=f(x) at (0, 0) is given by y-x =0, then lim_(x to 0)(x^(2))/(f(x^(2))-20f(9x^(2))+2f(99x^(2))) , is

Let a=lim_(x rarr0)x cot x and b=lim_(x rarr0)x log x then

Evaluate: ("lim")_(x→0,y→0)(y^2+sinx)/(x^2+siny^2) where (x , y)→(0,0) along the curve x=y^2

Evaluate: ("lim")_(x→0,y→0)(y^2+sinx)/(x^2+siny^2) where (x , y)→(0,0) along the curve x=y^2

if y=(1)/(2)sin^(-1)((2xy)/(x^(2)+y^(2))) and y

Evaluate lim_((x,y) to (0,0)) cos((x^(3) + y^(3))/(x+y+2)) . If the limit exists.