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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Transcribed Image Text:Explain the meaning of the following equation.
lim f(x) = 7
x-9
O F(x) = 7 for all values of x.
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O The values of f(x) can be made as close to 9 as we like by taking x sufficiently close to 7.
O If Ix, -91 < Ix,- 91, then If(x,) – 7| < \f(x,) – 71.
O If Ix,-91 < Ix, - 91, then If(x,) – 7|S If(x,) - 7|.
O The values of f(x) can be made as close to 7 as we like by taking x sufficiently close to 9.
Is it possible for this statement to be true and yet f(9) = 5? Explain.
O Yes, the graph could have a hole at (9, 7) and be defined such that f(9) = 5.
O Yes, the graph could have a vertical asymptote at x = 9 and be defined such that f(9) = 5.
O No, if f(9) = 5, then lim f(x) = 5.
O No, if lim F(x) = 7, then f(9) = 7.
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