Suppose one wants a taylor polynomial approximation for f(x) = ln(4 − 2x) around x0 = 0 over the interval [−1, 1]. using the error bounding method from class (alternatively from the textbook as in the previous problem), what is the minimum order taylor polynomial that guarantees the error will never exceed ε = 0.1 anywhere in the interval? what is the corresponding taylor polynomial? what are the actual errors at x = −1, x = 0 and x = 1?