Westminster College- Math 203 demos
var("x, y")
f(x,y)=x2−y2x2+y2\displaystyle{f(x, y) = \frac{x^{2} - y^{2}}{x^{2} + y^{2}}}f(x,y)=x2+y2x2−y2
lim(x,y)→(0,0)f(x,y)\displaystyle{\lim_{(x, y) \to (0, 0)} f(x, y)}(x,y)→(0,0)limf(x,y)
plot3d((x^2 - y^2)/(x^2 + y^2), (x, -2, 2), (y, -2, 2))
f(x,y)=xy2x2+y4\displaystyle{f(x, y) = \frac{xy^{2}}{x^{2} + y^{4}}}f(x,y)=x2+y4xy2
plot3d(x*y^2/(x^2 + y^4), (x, -1, 1), (y, -1, 1))
