2. Consider the function f(x, y) = y? (x2 + y?) (ex - 4)2 + 12' (2,y) # (4, 0). Which of the following statements is false? [2 marks] (A) The limit of f(x, y) as (x, y) - (4, 0) along the path y = 0 is 0. (B) The limit of f(x, y) as (x, y) - (0, 0) along the path r = 0 is 0. (C) The limit of f(r, y) as (x, y) - (0, 0) along the path y = 4r is 0. (D) The limit of f(x, y) as (x, y) - (4,0) along the path x = 4 is 0. (E) The limit lim f(x, y) does not exist. (x,y)- (4,0)