1 files changed, 66 insertions, 0 deletions
diff --git a/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file1_limit_approach_point.py b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file1_limit_approach_point.py
new file mode 100644
index 0000000..57d1d45
--- /dev/null
+++ b/FSF-2020/calculus-of-several-variables/multivariable-functions-and-paritial-derivatives/limits-and-continuity-of-multivariable-functions/file1_limit_approach_point.py
@@ -0,0 +1,66 @@
+from manimlib.imports import *
+
+class Limit(GraphScene):
+    CONFIG = {
+    "x_min": 0,
+    "x_max": 4,
+    "y_min": 0,
+    "y_max": 4,
+    "graph_origin": ORIGIN + 3* DOWN+4*LEFT,
+    "x_labeled_nums": list(range(0, 4)),
+    "y_labeled_nums": list(range(0, 5)),
+    }
+    def construct(self):
+        topic = TextMobject("Different paths of approach to limit point")
+        topic.scale(1.5)
+        topic.set_color_by_gradient(RED, ORANGE, YELLOW, GREEN, BLUE, PURPLE)
+        self.play(Write(topic))
+        self.wait(1)
+        self.play(FadeOut(topic))
+        
+        
+
+        XTD = self.x_axis_width/(self.x_max- self.x_min)
+        YTD = self.y_axis_height/(self.y_max- self.y_min)
+
+        self.setup_axes(animate = True)
+
+        y_x = self.get_graph(lambda x :  x, x_min = -1, x_max = 4)
+        y_x_lab = self.get_graph_label(y_x, label = r"y = x")
+
+        y_xsquare = self.get_graph(lambda x :  x*x, x_min = -1, x_max = 4)
+        y_xsquare_lab = self.get_graph_label(y_xsquare, label = r"y = x^2")
+
+        y_1 = self.get_graph(lambda x :  1, x_min = -1, x_max = 4)
+        y_1_lab = self.get_graph_label(y_1, label = r"y = 1")
+
+        y_2minusx = self.get_graph(lambda x :  2 - x, x_min = -1, x_max = 4, color = RED)
+        y_2minusx_lab = self.get_graph_label(y_2minusx, label = r"y = 2 - x")
+
+        limit_point = Dot().shift(self.graph_origin+1*XTD*RIGHT+1*YTD*UP)
+        limit_point_lab = TextMobject(r"(1,1)") 
+        limit_point_lab.next_to(limit_point, DOWN)
+
+        self.play(ShowCreation(limit_point))
+        self.play(Write(limit_point_lab))
+        self.wait(1)
+
+        self.play(ShowCreation(y_x))
+        self.play(Write(y_x_lab))
+        self.wait(1)
+
+        self.play(ShowCreation(y_xsquare))
+        self.play(Write(y_xsquare_lab))
+        self.wait(1)
+
+        self.play(ShowCreation(y_1))
+        self.play(Write(y_1_lab))
+        self.wait(1)
+
+        self.play(ShowCreation(y_2minusx))
+        self.play(Write(y_2minusx_lab))
+        self.wait(1)
+
+        
+
+        
+\ No newline at end of file