Question 4: (4 Marks) a) Consider the following real-valued function: 0 if x=y=0 f(x,y) = xay 24 + y2 otherwise. By taki

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Question 4 4 Marks A Consider The Following Real Valued Function 0 If X Y 0 F X Y Xay 24 Y2 Otherwise By Taki 1 (26.11 KiB) Viewed 25 times

Question 4: (4 Marks) a) Consider the following real-valued function: 0 if x=y=0 f(x,y) = xay 24 + y2 otherwise. By taking the limit 3 + 0 along the line y = x², show that this function is discontinuous at x = y=0. { b) Now consider the following real-valued function: 0 if x=y=0 g(x, y) = ry otherwise x + y2 + 1 Is this function continuous at x=y=0? Justify your answer. {