#### Answer

$1$.

#### Work Step by Step

Since we have
$$\lim_{n\to \infty}a_n=\lim_{n\to \infty} \frac{n}{\sqrt{n^2+1}}=\lim_{n\to \infty} \frac{1}{\sqrt{1+(1/n^2)}}=1,$$
then the sequence $a_n$ converges to $1$.

Chegg costs money, GradeSaver solutions are free!

Published by
W. H. Freeman

ISBN 10:
1464125260

ISBN 13:
978-1-46412-526-3

$1$.

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.