Problem 2: [10 pts] Morgan, Avery, and Taylor are asked to evaluate the limit lim ry2 - 2x2 (2,y)=(8,4) 14 - 4x2 . Morgan writes lim cy2 - 2.x2 (x,y) =(8,4) y4 - 4x2 and concludes from this that the limit does not exist. . Avery notes that along x = 0, xy2 - 212 0-0 = 0 and that along y = 0, xy2 - 2x2 0 - 2x2 y4 - 4x2 y4 - 0 y4 - 4x2 0 - 4.x2 Avery concludes that the limit does not exist since the function tends to different values along different paths. . Taylor notes that along y = mx, xy2 - 2x2 _x(mx)2 - 2.2 max - 2 m4x4 _ : " / 0, and as a - 0, max - 2 y4 - 4x2 (max)4 - 4x2 m4x4 - 4 Taylor concludes that the limit exists and is equal to Determine which students, if any, provided a correct response. If a student did not provide a correct response, make sure to explain what error (or errors) they made. If none of the students are correct, calculate the limit correctly, or explain why it does not exist