Suppose a function f (x) has a vertical asymptote at x = a. Which of the following conclusions are guaranteed? Select ALL that apply. O f (x) is discontinuous at æ = a O f' (a) does not exist limz→a ƒ (x) does not exist

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 1E: If the rational function y=r(x) has the vertical asymptote x=2, then as x2+ , either y ______or y...
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Suppose a function f (x) has a vertical asymptote at x = a.
Which of the following conclusions are guaranteed? Select ALL that apply.
O f (x) is discontinuous at æ = a
O f' (a) does not exist
limz→a ƒ (x) does not exist
Transcribed Image Text:Suppose a function f (x) has a vertical asymptote at x = a. Which of the following conclusions are guaranteed? Select ALL that apply. O f (x) is discontinuous at æ = a O f' (a) does not exist limz→a ƒ (x) does not exist
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