Evaluate lim f(x) and lim f(x) for the rational function. Then give the horizontal asymptote of f (if any). X00 X- 00 16x°-8 5 f(x) = 2x°-9x Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. 16x° -8 lim (Simplify your answer.) 2x° - 9x X - 00 B. The limit does not exist and is neither oo or - 0o. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. 5 16x° - 8 lim 2x° - 9x (Simplify your answer.) 4 X00 O B. The limit does not exist and is neither oo or - o. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. The function has a horizontal asymptote at y = %3D (Simplify your answer.) B. The function has no horizontal asymptote.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Question
Evaluate lim f(x) and lim f(x) for the rational function. Then give the horizontal asymptote of f (if any).
X00
X - 00
16x°-8
f(x) =
4
2x - 9x"
Select the correct choice below, and, if necessary, fill in the answer box to complete your choice.
O A.
16x° -8
lim
(Simplify your answer.)
X- 00 2x° - 9x
O B. The limit does not exist and is neither o or - 0o.
Select the correct choice below, and, if necessary, fill in the answer box to complete your choice.
O A.
16x° - 8
lim
2x5 - 9x4
(Simplify your answer.)
X00
O B. The limit does not exist and is neither o or 0.
Select the correct choice below, and, if necessary, fill in the answer box to complete your choice.
A. The function has a horizontal asymptote at y =
(Simplify your answer.)
O B. The function has no horizontal asymptote.
Type here to search
Transcribed Image Text:Evaluate lim f(x) and lim f(x) for the rational function. Then give the horizontal asymptote of f (if any). X00 X - 00 16x°-8 f(x) = 4 2x - 9x" Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. 16x° -8 lim (Simplify your answer.) X- 00 2x° - 9x O B. The limit does not exist and is neither o or - 0o. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. O A. 16x° - 8 lim 2x5 - 9x4 (Simplify your answer.) X00 O B. The limit does not exist and is neither o or 0. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. A. The function has a horizontal asymptote at y = (Simplify your answer.) O B. The function has no horizontal asymptote. Type here to search
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