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
Fig: 1