1 files changed, 30 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file3_limit_func.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file3_limit_func.py
new file mode 100644
index 0000000..02e00e8
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file3_limit_func.py
@@ -0,0 +1,30 @@
+from manimlib.imports import *
+
+class LimitFunc(ThreeDScene):
+    def construct(self):
+        axes = ThreeDAxes() 
+
+        text3d = TextMobject(r"$f(x,y) = \frac{x^2 - y^2}{x^2 + y^2}$")
+        self.add_fixed_in_frame_mobjects(text3d)
+       
+        text3d.to_corner(UL)
+      
+        text3d.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
+
+        self.play(Write(text3d))
+        self.wait(1)
+
+        limit_func = ParametricSurface(
+            lambda u, v: np.array([
+                u*np.cos(v),
+                u*np.sin(v),
+                (np.cos(v)*np.cos(v) - np.sin(v)*np.sin(v))/3
+            ]),u_min=-3,u_max=3,v_min=0,v_max=2*PI,checkerboard_colors=[YELLOW_C, YELLOW_E],
+            resolution=(15, 32)).scale(2)
+
+        self.set_camera_orientation(phi=80 * DEGREES)
+        self.begin_ambient_camera_rotation(rate=0.3)
+
+        self.add(axes)
+        self.play(Write(limit_func))
+        self.wait(10)
+\ No newline at end of file