Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
-$$a _ { n } = \frac { 2 n } { n + 5 }$$
A) Diverges
B) Converges

Question

Quizplus · Accepted Answer

The sequence $\frac{2n}{n+5}$ converges to 2 as $n$ approaches infinity. This is because the degree of the numerator and denominator are the same, and the leading coefficients are 2 and 1, respectively. Thus, the limit of the sequence as $n$ goes to infinity is the ratio of the leading coefficients, which is $\frac{2}{1} = 2$.

Graph the Function Corresponding to the Sequence Defined an=2nn+5a _ { n } = \frac { 2 n } { n + 5 }an​=n+52n​

Graph the Function Corresponding to the Sequence Defined $a _ { n } = \frac { 2 n } { n + 5 }$