!Textbook4QA function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negativeinfinity exists.Show that each of the following functions has a horizontal asymptote by calculating the given limit.lim818lim1-∞limHIX-7x2 + 2xlim*48lim8118@2=15x - 9x³ + 3x - 15x² - 2x - 107- 13x²√√²+ 13x3-4xSubmit QuestionWVideos [+]S√² + 13x3-4x#3Jump to AnswerE$4R27 2⁰%5T^6Y&7U89

Answered: -7x lim 200 2+ 2x 15x-9 lim 1-∞ 2³ + 3x…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Related questions

Question

!
Textbook
4
Q
A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative
infinity exists.
Show that each of the following functions has a horizontal asymptote by calculating the given limit.
lim
818
lim
1-∞
lim
HIX
-7x
2 + 2x
lim
*48
lim
8118
@
2
=
15x - 9
x³ + 3x - 15
x² - 2x - 10
7- 13x²
√√²+ 13x
3-4x
Submit Question
W
Videos [+]
S
√² + 13x
3-4x
#3
Jump to Answer
E
$
4
R
27 2⁰
%
5
T
^
6
Y
&
7
U
8
9

Expert Solution

Step 1

Concept:

Unique real numbers are limits in mathematics. Take into account a real number "c" and a real-valued function "f," where the limit is often defined as $\lim_{x \to c} f (x) = L$

The sentence should be understood as "the limit of f of x, since x tends to c is equal to L. The right arrow indicates that function f(x) approaches the limit L as x approaches c and the $" l i m "$ displays the limit.