For the rational function f(x) = find the following limits and identify the type of asymptote that each limit indicates. (If the function increases/decreases without bound, enter +o/-o; if it * +9 does not exist for another reason, enter DNE.) 4x - 1 (a) lim X--9+ X + 9 This limit shows that the line is a ---Select--v asymptote on the graph of f. (b) 4x - 1 lim X-o x + 9 This limit shows that the line is a ---Select-v asymptote on the graph of f.

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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For the rational function f(x) =
A , find the following limits and identify the type of asymptote that each limit indicates. (If the function increases/decreases without bound, enter +o/-o; if it
does not exist for another reason, enter DNE.)
(a)
lim
4x - 1
メ→-9+ x+9
This limit shows that the line
is a ---Select--- v asymptote on the graph of f.
(b)
lim 4x - 1
x o x +9
This limit shows that the line
is a -Select-- v asymptote on the graph of f.
Transcribed Image Text:For the rational function f(x) = A , find the following limits and identify the type of asymptote that each limit indicates. (If the function increases/decreases without bound, enter +o/-o; if it does not exist for another reason, enter DNE.) (a) lim 4x - 1 メ→-9+ x+9 This limit shows that the line is a ---Select--- v asymptote on the graph of f. (b) lim 4x - 1 x o x +9 This limit shows that the line is a -Select-- v asymptote on the graph of f.
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