Q7. Consider the following function f (I, y) -22 4 16 (7 9) + (0, 0) (z, y) - (0,0) (a) Compute lim f(r, y) along the path c, (t) - (0, t). (z y) (0,0) (b) Compute lim f(r, y) along the path cz(t) = ($3, t). (z.V/) (0,0) (c) The choice of the paths c, and c2 is mysterious. Something about the formula for f(r, y) suggested that these paths would yield different limits. Brielfy describe what properties of the formula for f(r, y) suggest the choice of the paths c, and ez