Answer
converges to $8$
Work Step by Step
To find if the sequence converges, find if the limit as $n$ approaches infinity exists.
$\lim\limits_{n \to \infty}(8+\frac {5}{n})$
=$\lim\limits_{n \to \infty}8$+$\lim\limits_{n \to \infty}\frac {5}{n}$
=8+0=8
The limit at infinity exists for the sequence; therefore, the sequence converges to $8$.
