lim -3x xxx52x lim - 4x 13 xxx3 2x - 7 lim 2 _ 52 – 8 x x-x 8 lim x-x lim xx - - - 8x2 √√√x² + 3x 10 11x - √x² + 3x 10 11x - =

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.

lim
-3x
xxx52x
lim
-
4x 13
xxx3 2x - 7
lim
2 _ 52 – 8
x
x-x 8
lim
x-x
lim
xx
-
-
-
8x2
√√√x² + 3x
10 11x
-
√x² + 3x
10 11x
-
=
Transcribed Image Text:lim -3x xxx52x lim - 4x 13 xxx3 2x - 7 lim 2 _ 52 – 8 x x-x 8 lim x-x lim xx - - - 8x2 √√√x² + 3x 10 11x - √x² + 3x 10 11x - =
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