Question 1

4 points

2¹+ 2y²

(23) (0,0) 4+¹

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

a. Determine if lim

sin (a)

8

8x

exists or not. [3 points]

f(x, y) =

xat

b. Consider the function f defined as

24+2y¹

+y4

0

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

f is continuous at (0,0).

Of is not continuous at (0,0).

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

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

E