Chapter 11.1, Problem 86E

a.

To determine

To find: The Taylor polynomials of $p_3$ and $q_3$.

b.

To determine

To sketch: The graph for the function f, the Taylor polynomials $p_3$ and $q_3$. on the interval $\left[0,4\right]$.

c.

To determine

To show: The error with the Taylor polynomial values of $p_3\left(x\right)$ and $q_3\left(x\right)$ by completing the given table.

d.

To determine

To find: The points from the table obtained in c such that $p_3$ is better approximation to f than $q_3$.