#### Answer

$$\lim\limits_{n\to\infty}a_n=\lim\limits_{n\to\infty}\frac{3\sqrt{n}}{\sqrt{n}+2}=3$$
In other words, the sequence converges and its limit is $3$.

#### Work Step by Step

See picture

Published by
Cengage

ISBN 10:
1285740629

ISBN 13:
978-1-28574-062-1

See picture

You can help us out by revising, improving and updating this answer.

Update this answerAfter you claim an answer you’ll have **24 hours** to send in a draft. An editor
will review the submission and either publish your submission or provide feedback.