2. Consider the function f(x)=ln(x). (a) Construct the Lagrange form of the interpolating polynomial for f passing through the points (1,ln(1)),(2,ln(2)),(3,ln(3)). See the class notes for the quadratic form required. (b) Plot the polynomial obtained in (a) on the same set of axes as f(x)=ln(x). Use an x range of [1,3]. Next, generate a plot of the difference between the polynomial obtained in part (a) and f(x)=ln(x). (c) Use the polynomial obtained in part (a) to estimate both ln(1.5) and ln(2.4). What is the error in each approximation