Chapter 8.4, Problem 69E

a.

To determine

To write: The terms $x_1,x_2\text{ and}{x}_3$ for the given sequence.

b.

To determine

To show: For $n=1,2,3,\dots$, $\frac{1}{2}\le x_n\le 1$.

c.

To determine

To show: Whether $x_n$ is the right Riemann sum for ${\displaystyle \underset{1}{\overset{2}{\int }}\frac{dx}{x}}$ using n intervals.

d.

To determine

To conclude: The limit of $x_n$ is $\ln 2$.