Taylor for sin(x) animation in manim

taylor.py

# See https://github.com/3b1b/manim
# Animation: https://debe.galliera.it/pub/taylor.mp4
from manimlib.imports import *
import math
from functools import partial


class Graphing(GraphScene):
    CONFIG = {
        "x_min": -10,
        "x_max": 10,
        "y_min": -4,
        "y_max": 4,
        "graph_origin": ORIGIN,
        "function_color": WHITE,
        "axes_color": BLUE
    }


    def label(self, n):
        lab = "y = x"
        sign = "-"
        for i in range(1, n+1):
            k = 2*i + 1
            lab += sign + "\\frac{x^{%s}}{%s!}" % (k, k)
            if sign == "-":
                sign = "+"
            else:
                sign = "-"
        return lab

    def taylor(self, n, x):
        val = 0
        sign = 1
        for i in range(n+1):
            k = 2*i + 1
            val += sign * x**k / math.factorial(k)
            sign *= -1
        return val

    def construct(self):
        self.setup_axes(animate=True)
        for i in range(10):
            ptaylor = partial(self.taylor, i)
            func_graph = self.get_graph(ptaylor, self.function_color)
            graph_lab = self.get_graph_label(func_graph, label = self.label(i))
            if i == 0:
                self.play(ShowCreation(func_graph), Write(graph_lab))
                old_graph = func_graph
                old_lab = graph_lab
            else:
                self.play(Transform(old_graph, func_graph), Transform(old_lab, graph_lab))
            self.wait(0.15)
        self.wait(3)