A function is said to have a horizontal asymptote if either the limit at infinity exists of the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit Tim √ X2 + 8x X-> 3-11X lim X->> x2 + 8x 3-11X 11

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 of the limit
at negative infinity exists.
Show that each of the following
functions has a horizontal
asymptote
by calculating the given limit
Tim
V x2 + 8X
=
X->
3-11X
lim
XIA
ха
x2 + 8x
3-11 X
=
Transcribed Image Text:A function is said to have a horizontal asymptote if either the limit at infinity exists of the limit at negative infinity exists. Show that each of the following functions has a horizontal asymptote by calculating the given limit Tim V x2 + 8X = X-> 3-11X lim XIA ха x2 + 8x 3-11 X =
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