Vx2 + 3x lim T-00 5 - 13x Væ2 + 3x lim T-00 5 - 13x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
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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.
-6x
lim
IH00 15 + 2x
9х — 7
lim
I-00 x3 + 3x
x2
lim
3
15х — 14
9 – 14x2
x2 + 3x
lim
13x
Vx2 + 3x
lim
5 – 13x
I-00
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. -6x lim IH00 15 + 2x 9х — 7 lim I-00 x3 + 3x x2 lim 3 15х — 14 9 – 14x2 x2 + 3x lim 13x Vx2 + 3x lim 5 – 13x I-00
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