Use python and matplotlib to answer this question

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, i.e., the top plot will represent =1, the next plot =1+, the next =1++1/2()², etc. Plot them on the domain [1,1]x[1,1].

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.

b) create an animation of your plots showing the increasing precision of the approximation.

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