Can u help me with this Let f the function defined by fx yx4

Let f the function defined by f(x, y)={x^4+y^3/x^2+y^2 if (x, y) notequalto (0,0) 0 if (x, y) = (0,0). show that lim_(x, y) rightarrow (0,0) f (x, y) = 0, justify that f is everywhere continuous. Use the definition to compute the partial derivative f/x (0,0) and f/y (0,0) Compute the linearization L(x, y) of f(x, y) at (0,0) show that lim_(x, y) rightarrow (0,0) f(x, y)-L(x, y)/Squareroot x^2+y^2 does not exit. Conclude that f is not differentiable at (0,0)

Solution

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