"""Taylor approximation: a polynomial growing degree by degree onto cos(x).
Render (the driver does this for every palette; these are for eyeballing):
P=/opt/homebrew/opt/python@3.11/bin/python3.11
ASSET_MODE=still $P -m manim -s -t -r 1600,1600 manim/taylor_approximation.py TaylorApproximation
ASSET_MODE=motion $P -m manim -qh -r 1600,1600 manim/taylor_approximation.py TaylorApproximationLoop
"""
import math
import numpy as np
from manim import (
DOWN,
LEFT,
UP,
Dot,
The full Manim source and the rendered video come with a plan.