Chapter 4.1, Problem 27E

To determine

a)

To describe:

A relation

To determine

b)

To show:

$R_n-L_n=\frac{b-a}{n}\left[f\left(b\right)-f\left(a\right)\right]$

To determine

c)

To deduce:

$R_n-A<\frac{b-a}{n}\left[f\left(b\right)-f\left(a\right)\right]$