Consider the function f(x,

y) = 2x p x 2 + y 2 , (x, y) 6= (0, 0). (a) (4 points) Find lim (x,y)→(0,0) f(x, y) along the path y = x for x > 0 or show that the limit does not exist. (b) (4 points) Find lim (x,y)→(0,0) f(x, y) along the path y = 2x for x > 0 or show that the limit does not exist. (c) (2 points) Find lim (x,y)→(0,0) f(x, y) or show that the limit does not exist.

ad939ddd7b47adb150da7618945df32a92fOff7e460dee2b1c30a5f42a73e844cf8f6bc6909d82f4763ea17495fe4cc89fa0206159ba78542e8582... 5/10Question 3. Consider the function f(x, y) =VI2 + y2(x, y) # (0,0).(a) (4 points) Find lim f(x, y) along the path y = x for a > 0 or show that the limitdoes not exist.(z,3)-+(0,0)(b) (4 points) Find lim f(x, y) along the path y = 2x for r > 0 or show that the limitdoes not exist.(2,y) +(0,0)(c) (2 points) Find lim f(r, y) or show that the limit does not exist.+Activate WindowsGo to Settings to activate Window