Your task is to write a Python program which will output to a file (called taylor.dat) values of the variable x, the exact function f(x) and a Taylor approximation of f(x) up to nth order for a user-specified n value. Calculate the function in the range between x=2 and x=+2. Your code should also make a plot of the exact function along with the approximated one using matplotlib.pyplot. The output to file should be formatted and in columns. As a rough guide, with n=15, your Taylor approximation will look very close to the actual function for the range of x values suggested, but with some noticeable deviations at the ends of the range. You should define a function for the Taylor expansion of f(x) to order n, with arguments n and x.