Calculate the following limits, showing all your steps, or show that the limit does not exist. 1 - cos2x + sin2y/x2 + 2y 3xy2/x2+y2 Define f :R2 rightarrow R by f(x,y) = { Is f continuous at (0, - 2)? (Explain your answer.) Choose a suitable function f(x, y) and use a linear approximation about (4,3) to estimate (4.01)2 + (2.98)2.