Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y) → (0, 0) x4 − 36y2 x2 + 18y2

Looks like the limit is

Let with , so the limit is equivalent to

Now let with , so the limit is

The value of the limit evidently depends on path of approach, so the limit does not exist.

70

step-by-step explanation:

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation