3x³ +18x² +15x x +5x 2 (a) Evaluate lim f(x) and lim f(x), then identify the horizontal asymptotes. X18 8118 (b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x). x→a x-a* Consider the function f(x) =

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 42E: Write an equation that defines a rational function with a vertical asymptote at x=2 and a horizontal...
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Question
K
A
3x³ +18x² +15x
2
x
3
+!
(a) Evaluate lim f(x) and lim f(x), then identify the horizontal asymptotes.
X48
X4-8
(b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x).
x→a
x-a*
Consider the function f(x) =
(a) lim f(x)=
X48
lim f(x)=
8118
Identify the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The horizontal asymptote(s) is/are y =
(Use a comma to separate answers as needed.)
OB. There are no horizontal asymptotes.
(b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
x→a¯ x→a*
OA. The vertical asymptote is x =
OB. There is no vertical asymptote.
The limits at this vertical asymptote are lim f(x)=
x-a
CITE
and lim f(x)=
x-a*
Transcribed Image Text:K A 3x³ +18x² +15x 2 x 3 +! (a) Evaluate lim f(x) and lim f(x), then identify the horizontal asymptotes. X48 X4-8 (b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x). x→a x-a* Consider the function f(x) = (a) lim f(x)= X48 lim f(x)= 8118 Identify the horizontal asymptotes. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The horizontal asymptote(s) is/are y = (Use a comma to separate answers as needed.) OB. There are no horizontal asymptotes. (b) Find the vertical asymptote. For the vertical asymptote x = a, evaluate lim f(x) and lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x→a¯ x→a* OA. The vertical asymptote is x = OB. There is no vertical asymptote. The limits at this vertical asymptote are lim f(x)= x-a CITE and lim f(x)= x-a*
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