Theorem 1 Sequence Defined by a Function
Let $f(x)$ be a function defined on $[c,\infty ]$ for some constant $c$. If $\lim_{x\to\infty}f(x)$ exists, then the sequence $a_n=f(n)$, defined for $n\geq c$, converges and $$\lim_{n\to\infty}a_n=\lim_{x\to\infty}f(x)$$

Use Theorem 1 to determine the limit of the sequence or type DIV if the sequence diverges.

$a_n=2$

$\lim\limits_{n\to\infty}a_n =$