Chapter 4, Problem 8P

Use a centered difference approximation of $O\left(h^2\right)$ to estimate the second derivative of the function examined in Prob. 4.5. Perform the evaluation at $x=2$ using step sizes of $h=0.25\text{ and }0.125$. Compare your estimates with the true value of the second derivative. Interpret your results on the basis of the remainder term of the Taylor series expansion.