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. -15x lim #∞ 8+2x = 10x 12

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.5: Polynomial And Rational Functions
Problem 41E
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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
818
lim
lim
818
lim
248
lim
15x
8 + 2x
=
10x 12
x3 + 8x 10
2² 112-11
3-42²
√x² + 12x
4 - 15x
=
√x² + 12x
4 - 15x
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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. lim 818 lim lim 818 lim 248 lim 15x 8 + 2x = 10x 12 x3 + 8x 10 2² 112-11 3-42² √x² + 12x 4 - 15x = √x² + 12x 4 - 15x Submit Question
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