5.2 Limits and Continuity
(x,y)!(0,0) x4 4y2 x2 +2y2 First, observe that (0,0) is not in the domain of x44y2 x2+2y2. So we answer NO for Step I and move onto Step II. Notice that we can simplify this expression. We get x4 4y2 x 2+2y = (x2 2y2)(x2 +2y2) x +2y2 = x2 22y . Now we return to Step I and observe that (0,0) is in the domain of x2 2y2. Therefore, we can plug in ... ................
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