5. Consider the function (x, y) = (0,0), f(x, y) = (x, y) = (0,0). (a) For any real number m, define the (single-variable!) function 9m(x) = f(x, mx). (This is the restriction of f to the line y=mx.) Show that every 9m is a continuous function of x, even at x = 0. +y (b) Does your answer to part (a) imply that f is continuous at (0,0)? Why or why not? (c) For any real number m, define h(x) = f(x, mx). What is lim-ohm (x)? Explain what this has to do with part (b).