Consider the function f: R2R given by 2xy x6 + y In this problem, you'll consider lim(x,y)-o f(x, y). (a) Look at the values of f on the x- and y-axes. What do these values show the limit lim(x,y)-o f(x, y) must be if it exists? f(x, y) = for (x, y) #0 (b) Show that along each line in R through the origin, the limit of f exists and is 0. (c) Despite this, show that the limit lim(x,y)-o f(x, y) does not exist by finding a curve over which f takes on the constant value 1.