Use a centered difference approximation of O(h 2 ) to estimate the second derivative of the function

Question:

Use a centered difference approximation of O(h²) to estimate the second derivative of the function examined in Prob.4.4. Perform the evaluation at x = 2 using step sizes of h = 0.25 and 0.125. Compare your estimates with the true value of the second derivative. Interpret your results on the basis of the remainder term of Taylor series expansion.