(a) Determine the third order (n = 3) Taylor polynomial approximation for f(x) = In (+2) expanded about a = -1 and its remainder term. Leave your answer in terms of factors (1+1) (that is, do not simplify). Show all your work. (b) Use the polynomial approximation in (a) (without the remainder term) to approximate f(-1.06) = ln (0.94). Use either hand computation, your calculator or MATLAB. Give an exact answer to 6 significant digits. (c) To 6 correct significant digits, the exact value of f(-1.06) = ln (0.94) is -0.0618754. Use this value to compute the absolute error of your computed approximation in (b). (d) Determine a good upper bound for the truncation error of the Taylor polynomial approximation in (b) by bounding the remainder term in (a). Give at least 2 correct significant digits