A function is said to have a horizontal asymptote if either the limit at infinity exists or the U negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the giver -12x lim 5+ 2x 12x – 8 lim x→ - o x + 10x – 6 x2 9x 15 lim 14 – 2x2 Vx2 + 13x lim 14 11x x2 + 13x lim 14 – 11x
A function is said to have a horizontal asymptote if either the limit at infinity exists or the U negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the giver -12x lim 5+ 2x 12x – 8 lim x→ - o x + 10x – 6 x2 9x 15 lim 14 – 2x2 Vx2 + 13x lim 14 11x x2 + 13x lim 14 – 11x
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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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.
- 12x
-
lim
5 + 2x
12x - 8
|
lim
x→ - o p3 + 10x – 6
x² – 9x
9х — 15
lim
14 – 2x2
Væ2 + 13x
lim
14- 11г
x² + 13x
lim
14 11x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4786299-bc46-4a61-84d1-41be0cd775f2%2F8e238f38-1844-4026-927a-e32ef4f8eff6%2Fd9hjah5_processed.jpeg&w=3840&q=75)
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.
- 12x
-
lim
5 + 2x
12x - 8
|
lim
x→ - o p3 + 10x – 6
x² – 9x
9х — 15
lim
14 – 2x2
Væ2 + 13x
lim
14- 11г
x² + 13x
lim
14 11x
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