Consider the function,f(x) = In x. (a) Construct the Lagrange form of the interpolating polynomial for f passing through the points (1, In 1), (2, ln 2), and (3, ln 3) (b) Use the polynomial obtained in part (a) to estimate both In(1.5) and In(2.4). What is the absolute error in each approximation? (c) Establish the theoretical error bound for using the polynomial found in part (a) to approximate In(1.5). Compare the theoretical error bound to the error found in part (b)