(1) Let f(x, y) = Evaluate lim x - 2242 f(x, y) or show that the limit does not (z,y) -+(0,0) exist by the 2-path test. (2) Let f(x,y) = x2 - xy Evaluate lim 2 2 + yz f(x, y) or show that the limit does not (x,y) -(0,0) exist by the 2-path test. (3) Let f(x, y) = 1 - vx - vy+ vay Evaluate lim f (x, y) or show that the limit 1-x-ytry (z,y)-+(1,1) does not exist by the 2-path test. x 2 y + 2 2 (4) Let f(x, y) = Evaluate lim x4 + y2 + 2y + 1 f(x, y) or show that the limit (x,y) -+(0,-1) does not exist by the 2-path test