Question 5

4 points

zy¹

lim

(z,y)

exists or not. [3 points]

(0,0) x² + y8

If it exists, enter its value. If it does not exist, enter "DNE".

a. Determine if

P

sin (a)

Ja

⠀⠀

00 C

b. Consider the function f defined as

f(x,y) = x² + y²

0

Is f continuous at (0, 0)? [1 point]

f is continuous at (0,0)

Of is not continuous at (0,0)

52

if (x, y) = (0,0)

if (x, y) = (0,0)

E