Taylor approximation

Taylor approximation preview
remixableManimCE2Dseriesloop

manim/taylor_approximation.py

"""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.