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lim f(x) = 7 x-9 - ForaI alun

lim f(x) = 7 x-9 - ForaI alun

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Explain the meaning of the following equation. lim f(x) = 7 x-9 O F(x) = 7 for all values of x. %3D 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.
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. %3D 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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