Answer
$0$
Work Step by Step
We have
$$
\lim _{n \rightarrow \infty} \frac{a_n+n}{a_n+n^2}= \lim _{n \rightarrow \infty}\frac{(a_n/n^2)+(1/n^2)}{(a_n/n^2)+1}\\
=\frac{0+0}{0+1}=0.
$$
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 - Chapter Review Exercises - Page 591: 8
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