Write a function/script file that solves this problem on MATLAB
We will work with the function f(x) = e^-2x sin (x). (a) Find the 3rd degree Taylor polynomial for f (x) centered at x_0 = 0. Show your work. (b) Use this to approximate f(0.3). (c) What is the actual value of f(0.3)? How much (actual) error is present in our polynomial approximation at this point? (d) Plot f(x) and the Taylor polynomial on the same axes from about -1 to 1.