Q7. Consider the following function. f(x, y) 12 + 1/6 (X, y) # (0,0) (x, y) = (0,0) (a) Compute lim f(x, y) along the path ci (t) = (0, t). (z,y) +(0,0) (b) Compute lim f(x, y) along the path c2(t) = (+3, t). (z,y) +(0,0) (c) The choice of the paths ci 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(x, y) suggest the choice of the paths c, and cz