Question

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… 5/10

Question 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 gt; 0 or show that the limit

does not exist.

(z,3)-+(0,0)

(b) (4 points) Find lim f(x, y) along the path y = 2x for r gt; 0 or show that the limit

does not exist.

(2,y) +(0,0)

(c) (2 points) Find lim f(r, y) or show that the limit does not exist.

+

Activate Windows

Go to Settings to activate Window

Math