from manimlib.imports import *

class Convergence(GraphScene):
    CONFIG = {
        "x_axis_label": "$n$",
        "y_axis_label": "$a_n$",
        "x_min" : 0,
        "x_max" : 10.3,
        "y_min" : 0,
        "y_max" : 1.1,
        "graph_origin" : 5*LEFT +3*DOWN ,
        "function_color" : BLUE ,
        "tangent_color": YELLOW,
        "axes_color" : GREEN,
        "x_labeled_nums" : range(0,11,1),
        "center_point" : 0,
        "include_solution" : True
    }
    def construct(self):
        self.setup_axes(animate=False)
        wee_dot = Dot(color = YELLOW).next_to(self.coords_to_point(0,1),RIGHT*0)
        self.play(ShowCreation(wee_dot),run_time = 0.3)
        for n in range(1,11):
            point = Dot(color =WHITE)
            point.next_to(self.coords_to_point(n,1/2**n),RIGHT*0)
            self.play(ShowCreation(point),run_time = 0.5)
            self.play(ApplyMethod(wee_dot.move_to,self.coords_to_point(0,1/2**n)),run_time = 0.5)