Chapter 13 - Section 13.4 - Limits at Infinity; Limits of Sequences - 13.4 Exercises - Page 930: 2

$\bf{L}$ , $\bf{large}$ $\bf{converges}$ , $\bf{diverges}$

Let us consider a sequence $a_1,a_2...a_n$ has the limit $L$ when the nth term, that is, $a_n$ of the sequence can be defined arbitrarily close to the limit $\bf{L}$ by taking the value of $n$ sufficiently $\bf{large}$. This means that the sequence $\bf{converges}$ otherwise, its $\bf{diverges}$.