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Does the function 5 3-x f(x)= have a vertical asymptote at x = 3? Why or why not? (Completing a table of values with x values very close to 3 can help.) 1. No because lim f(x) and lim f(x) are not x-3- x-3+ equal. 2. Yes because lim f(x): = ∞ and lim_f(x) = x-3- x-3+ -x.

Does the function 5 3-x f(x)= have a vertical asymptote at x = 3? Why or why not? (Completing a table of values with x values very close to 3 can help.) 1. No because lim f(x) and lim f(x) are not x-3- x-3+ equal. 2. Yes because lim f(x): = ∞ and lim_f(x) = x-3- x-3+ -x.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Does the function 5 f(x) = 3-x have a vertical asymptote at x = 3? Why or why not? (Completing a table of values with x values very close to 3 can help.) 1. No because lim f(x) and lim f(x) are not equal. x-3- x-3+ 2. Yes because lim f(x) = ∞ and lim f(x) = x3- x-3+ -8. 3. Yes because lim f(x) = ∞. x-3 4. Yes because lim f(x) = ∞. →3+ lim f(x) x-3- 88 5. No because ƒ(3) is undefined. and 6. No because lim f(x) does not exist. x-3
Transcribed Image Text:Does the function 5 f(x) = 3-x have a vertical asymptote at x = 3? Why or why not? (Completing a table of values with x values very close to 3 can help.) 1. No because lim f(x) and lim f(x) are not equal. x-3- x-3+ 2. Yes because lim f(x) = ∞ and lim f(x) = x3- x-3+ -8. 3. Yes because lim f(x) = ∞. x-3 4. Yes because lim f(x) = ∞. →3+ lim f(x) x-3- 88 5. No because ƒ(3) is undefined. and 6. No because lim f(x) does not exist. x-3
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