Chapter 11.1, Problem 68E

a.

To determine

To sketch: The graph of $y=\left|f\left(x\right)-p_2\left(x\right)\right|$ and $y=\left|f\left(x\right)-p_3\left(x\right)\right|$ on the interval $\left[-\frac{1}{2},\frac{1}{2}\right]$.

b.

To determine

To find: The points such that the error is largest or smallest on the interval $\left[-\frac{1}{2},\frac{1}{2}\right]$.

c.

To determine

Whether the obtained results consistent with the theoretical error bounds obtained in example 8.or not.