Chapter 11, Problem 10RCC

(a)

To determine

To write: An expression for the nth degree Taylor polynomial of f centered at a.

(b)

To determine

To write: An expression for Taylor series of f centered at a.

(c)

To determine

To write: An expression for the Maclaurin series of f.

(d)

To determine

To describe: The function $f\left(x\right)$ is equal to the sum of its Taylor series.

(e)

To determine

To state: Taylor’s Inequality