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. -8z lim z400 8+2ェ 2x 10 lim -12z - 5 lim 13 15z2 +8z lim I 00 9-47 V+ 8z lim 9-4z

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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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.
-8z
lim
z400 8+2ェ
2т - 10
lim
8 +4x -9
-12z-5
lim
I 00
13 15z2
+8z
lim
9-4z
I 00
VI+ 8z
lim
I 00
9-4z
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. -8z lim z400 8+2ェ 2т - 10 lim 8 +4x -9 -12z-5 lim I 00 13 15z2 +8z lim 9-4z I 00 VI+ 8z lim I 00 9-4z
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