A Swift Introduction to Lagrange Error Bounds (Taylor Series) | #some3

This is a submission for the Summer of Math Exposition 3 by Peter C and Akshay S, who are incoming college students. If you're new to Taylor Series, 3Blue1Brown's Essence of Calculus series has a good introductory video: https://www.youtube.com/watch?v=3d6DsjIBzJ4. Clips and final music from "Flatland: The Film" (2007) by Ladd Ehlinger: https://www.youtube.com/watch?v=avMX-Zft7K4. Errata: Nothing yet! #some #some3