Explain the meaning of the following equation. lim f(x) = 8 X-9 - ○ If |x₁ - 9| < |×2 − 9], then |f(x₁) − 8|≤ |f(x2) — 81. - - ○ If |×1 - 9| < |×2 − 91, then |f(x₁) − 8| < |f(x2) − 81. The values of f(x) can be made as close to 8 as we like by taking x sufficiently close to 9. The values of f(x) can be made as close to 9 as we like by taking x sufficiently close to 8. O f(x) = 8 for all values of x. Is it possible for this statement to be true and yet f(9) = 5? Explain. Yes, the graph could have a hole at (9, 8) 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. No, if f(9) = 5, then lim_f(x) = 5. X-9 No, if lim f(x) = 8, then f(9) = 8. X-9
Explain the meaning of the following equation. lim f(x) = 8 X-9 - ○ If |x₁ - 9| < |×2 − 9], then |f(x₁) − 8|≤ |f(x2) — 81. - - ○ If |×1 - 9| < |×2 − 91, then |f(x₁) − 8| < |f(x2) − 81. The values of f(x) can be made as close to 8 as we like by taking x sufficiently close to 9. The values of f(x) can be made as close to 9 as we like by taking x sufficiently close to 8. O f(x) = 8 for all values of x. Is it possible for this statement to be true and yet f(9) = 5? Explain. Yes, the graph could have a hole at (9, 8) 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. No, if f(9) = 5, then lim_f(x) = 5. X-9 No, if lim f(x) = 8, then f(9) = 8. X-9
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Complex Numbers
Section: Chapter Questions
Problem 14T
Question
![Explain the meaning of the following equation.
lim f(x)
= 8
X-9
-
○ If |x₁ - 9| < |×2 − 9], then |f(x₁) − 8|≤ |f(x2) — 81.
-
-
○ If |×1 - 9| < |×2 − 91, then |f(x₁) − 8| < |f(x2) − 81.
The values of f(x) can be made as close to 8 as we like by taking x sufficiently close to 9.
The values of f(x) can be made as close to 9 as we like by taking x sufficiently close to 8.
O f(x) = 8 for all values of x.
Is it possible for this statement to be true and yet f(9)
= 5? Explain.
Yes, the graph could have a hole at (9, 8) 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.
No, if f(9) = 5, then lim_f(x) = 5.
X-9
No, if lim f(x) = 8, then f(9) = 8.
X-9](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3f33cc2f-0221-41a8-a3a2-cc96bc7960a2%2F423cb800-52d1-4187-8b9e-b05d0b92c74a%2Fwy9hnvs_processed.png&w=3840&q=75)
Transcribed Image Text:Explain the meaning of the following equation.
lim f(x)
= 8
X-9
-
○ If |x₁ - 9| < |×2 − 9], then |f(x₁) − 8|≤ |f(x2) — 81.
-
-
○ If |×1 - 9| < |×2 − 91, then |f(x₁) − 8| < |f(x2) − 81.
The values of f(x) can be made as close to 8 as we like by taking x sufficiently close to 9.
The values of f(x) can be made as close to 9 as we like by taking x sufficiently close to 8.
O f(x) = 8 for all values of x.
Is it possible for this statement to be true and yet f(9)
= 5? Explain.
Yes, the graph could have a hole at (9, 8) 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.
No, if f(9) = 5, then lim_f(x) = 5.
X-9
No, if lim f(x) = 8, then f(9) = 8.
X-9
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