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 $1$.
Calculus (3rd Edition)
by Rogawski, Jon; Adams, Colin
Published by
W. H. Freeman
ISBN 10:
1464125260
ISBN 13:
978-1-46412-526-3
Chapter 11 - Infinite Series - 11.1 Sequences - Exercises - Page 537: 23
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