Answer
$1$
Work Step by Step
We have
$$\lim_{n\to \infty}a_n=\lim_{n\to \infty}\frac{\sqrt{n}}{\sqrt{n}+4}=\lim_{n\to \infty}\frac{1}{1+(4/\sqrt{n})}=1.$$
Hence, by Theorem 1, 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 538: 44
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