Use Python and matplotlib to solve this problem.

a) Create an array of subplots in the shape (5,1). Consider the following list of coefficients: [1,1,1/2,1/6,1/24]. From top to bottom in your array of plots, plot a polynomial with increasing order with these coefficients

Do not attempt to do this manually! Make judicious use of 'for' loops and functions.

Add in a comment what this series of polynomials is approximating.

Bonus point: create an animation of your plots showing the increasing precision of the approximation.