Chapter 11.4, Problem 1CQ

a.

To determine

To compute: The terms $a_1=f\left(1\right),a_2=f\left(2\right),a_3=f\left(3\right),\dots ,a_n=f\left(n\right)$.

b.

To determine

To explain: The statement $S_{N-1}=\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+\cdots +\frac{1}{N-1}\ge {\displaystyle \underset{1}{\overset{N}{\int }}\frac{1}{x}dx}$.

c.

To determine

To show: The integral ${\displaystyle \underset{1}{\overset{\infty }{\int }}\frac{1}{x}dx}$ is divergent and conclude that ${\displaystyle \sum _{n=1}^{\infty }\frac{1}{n}}$ diverges.