1. Decide whether the function f(r) = admits any horizontal asymptotes, i.e. compute lim f(x) = Give the equation of the horizontal asymptote.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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Question 1
1. Decide whether the function f(x) = admits any horizontal asymptotes, i.e.
compute
lim f(x) =
Give the equation of the horizontal asymptote.
2. Compute the following limits at infinity and give reasons for your answers.
1
a) lim
6
b) lim
I 0 4r -7
%3D
6x
c) lim
I00 4x
6x2
d) lim
10 x2 -7
6x3
e) lim
I00 r2 -7
6x2 – 7x + 1
g) lim
4r3 – 7
j) lim e-
Transcribed Image Text:1. Decide whether the function f(x) = admits any horizontal asymptotes, i.e. compute lim f(x) = Give the equation of the horizontal asymptote. 2. Compute the following limits at infinity and give reasons for your answers. 1 a) lim 6 b) lim I 0 4r -7 %3D 6x c) lim I00 4x 6x2 d) lim 10 x2 -7 6x3 e) lim I00 r2 -7 6x2 – 7x + 1 g) lim 4r3 – 7 j) lim e-
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