This is LaTeX code:

[latex]
 
$\begin{align*}
\frac{\left( 1 + \frac{1}{a_n + 1} \right)^{a_n + 1}}{1 + \frac{1}{a_n + 1}}
= \left( 1 + \frac{1}{a_n + 1} \right)^{a_n}
< & \left( 1 + \frac{1}{x_n} \right)^{a_n} \leq \\
\leq & \left( 1 + \frac{1}{x_n} \right)^{x_n} < \\
< & \left( 1 + \frac{1}{x_n} \right)^{a_n + 1}
\leq \left( 1 + \frac{1}{a_n} \right)^{a_n + 1}
= \left( 1 + \frac{1}{a_n} \right) \left( 1 + \frac{1}{a_n} \right)^{a_n}
 \end{align*}$
 
[/latex]