The purpose of this Notebook is to explain pointwise convergence of the Taylor series. This idea is discussed from the perspective of convergence of the polynomial and convergence of the remainder. This Notebook also discussed Taylor's Remainder Theorem and how it is used in practice to determine whether or not a Taylor series converges to the function it is trying to approximate.
You can either download the files and run the Notebook on your local machine or you can launch the Notebook by clicking on the mybinder.org link below.
Note: the mybinder.org servers are not always running. If you're having difficulty launching the notebook please check the status of the servers at http://mybinder.org/status
If you download the files to your computer make sure that you have the TaylorSeriesTools.py file: these are the backend functions that create the simulations in the notebook.