Question

Consider a function f(x; y) = 2x2y x4 + y2 . (a) Find lim (x;y)!(1;1) f(x;...

Consider a function f(x; y) =

2x2y

x4 + y2 .

(a) Find lim

(x;y)!(1;1)

f(x; y).

(b) Find an equation of the level curve to f(x; y) that passes through the point (1; 1).

(c) Show that f(x; y) has no limits as (x; y) approaches (0; 0).

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