Question 8

3 points

2²x¹ - 4²y¹

(23) (0,0) 2x2 + 4y²

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

a. Determine if lim

sin (a)

b. Consider the function f defined as

2²¹-4²y¹

2x² + 4y²

f(x, y) =

∞a f

exists or not. [2 points]

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

Of is continuous at (0,0)

Of is not continuous at (0,0)

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

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