Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 13 - Section 13.4 - Limits at Infinity; Limits of Sequences - 13.4 Exercises - Page 930: 1

Answer

$\bf{L}$ ; $\bf{x}$ ; Horizontal asymptote

Work Step by Step

Let us consider that the function $f(x)$ is defined om some interval $(a, \infty)$. Then , we have $\lim\limits_{n\to \infty} f(x)=L$ This implies that the value of the function $f(x)$ can be defined arbitrarily close to the limit $\bf{L}$ by taking $\bf{x}$ sufficiently large. Then, the line $y=L$ is called a horizontal asymptote of the function $y=f(x)$
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