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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)
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