(3) Let f(r, y) = = and g(x, y) = 1-ytl (z,y)-+(0,0) (a) (1 point) Show that lim f (x, y) does not exist using the two path test and any two paths of the form y = mr. (b) (2 points) Explain (using at least one sentence) why you can't use paths of the form y = max to show that lim g(x, y) does not exist. (x,y)-+(0,1)(c) (3 points) Choose an appropriate pair of paths to show that lim g(r, y) does (I,y)-+ (0,1) not exist. (Hint: While there are many paths you could choose from, an appropriately shifted line or parabola will work)