Answer
True.
Work Step by Step
If there exists a horizontal asymptote at infinity for $f(x)$, $\lim\limits_{x \to \infty}f(x)=C$, where C is a constant. Therefore, the sequence {$f(n)$} converges to value C at infinity.
Calculus, 10th Edition (Anton)
by Anton, Howard
Published by
Wiley
ISBN 10:
0-47064-772-8
ISBN 13:
978-0-47064-772-1
Chapter 9 - Infinite Series - 9.1 Sequences - Exercises Set 9.1 - Page 606: 34
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