The limit of the expression (y^2 - xy)/(sqrt(x) - sqrt(x)) as (x,y) approaches (4,4) is 0.
The given limit is:
lim(x,y) -> (4,4) (y2 - xy)/(√x - √x)
Substituting the values (4,4) into the expression:
(42 - 4(4))/(√4 - √4)
Simplifying further:
(16 - 16)/0 = 0
Therefore, the limit is 0.