Q54Multiple correct2 Marks7 Aug 2022

Which of the following options is/are true? f(x, y) = xy^3 / (x^2 + y^6)

A

lim_{(x,y)->(0,0)} f(x,y) = 0.

B

lim_{(x,y)->(0,0)} f(x,y) = 1/2.

C

lim_{(x,y)->(0,0)} f(x,y) = 1.

D

lim_{(x,y)->(0,0)} f(x,y) does not exist.

E

f(x, y) is not continuous at $(0, 0)$.

F

f(x, y) is continuous at $(0, 0)$.