lim 15 13 15z2 Vr? + 8z lim %3D HY8 9-4x Vr? + 8z lim 9-4r /7

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
z+0o 8+ 2z
-4
2z - 10
lim
00 3+ 4 - 9
12-12z- 5
lim
1
15
13 15z2
lim
9 - 4x
VI + 8z
lim
9- 4z
1/-
1/7
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 z+0o 8+ 2z -4 2z - 10 lim 00 3+ 4 - 9 12-12z- 5 lim 1 15 13 15z2 lim 9 - 4x VI + 8z lim 9- 4z 1/- 1/7
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