Show that each of the following functic -7x lim →∞ 15 + 2x 12x - 11

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
icon
Related questions
Question
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.
-7x
lim
→∞ 15 + 2x
lim
→→∞ x³ +7x - 2
6x - 13
lim
I→∞
,2
lim
H418
12x - 11
x²
lim
I→→∞ 13 - 15x²
x² + 2x
11 - 6x
√x² + 2x
11 - 6x
||
||
Transcribed Image Text: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. -7x lim →∞ 15 + 2x lim →→∞ x³ +7x - 2 6x - 13 lim I→∞ ,2 lim H418 12x - 11 x² lim I→→∞ 13 - 15x² x² + 2x 11 - 6x √x² + 2x 11 - 6x || ||
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax