Chapter 8.8, Problem 66E

To determine

(a)

We usually expect the value of $S_N$to be more accurate than $M_N$. Which of $M_{10}$ and $S_{10}$ is more accurate in this case?

To determine

(b)

How to explain the result of part (a) using the hint that the error bounds are not valid because $\left|f\text{'}\text{'}(x)\right|$ and $\left|f^{(4)}(x)\right|$ tend to $\infty$ as $x\to 1$ but $\left|f^{(4)}(x)\right|$ goes to infinity more quickly.