NOTE:

Clearly label all plots (title, x-label, y-label, and legend).

When using Python, use the plt.subplot command from Matplotlib when comparing 2 or more plots to make comparisons easier.

Also stands for the Taylor Polynomial (i.e. Given a function and a value , we will define for each degree a polynomial which is the best degree polynomial approximation to near .).

Fore more information on Taylor Polynomials: https://www.math.upenn.edu/~pemantle/110-publicotes06.pdf

1. Consider the function f(x) = 3 tan(x). (a) Compute the first 4 non-zero terms in the Taylor series of f(2) about the point r= 7/4. (b) Using the results from Part (a), make a single Python plot which contains all of the following: i. a graph of f(x) versus x for x [7, 57). ii. a graph of p(x). iii. a graph of p2(2). iv. a graph of p3(x). v. a title, -axis label, y-axis label, and a legend