Suppose that the only thing we know about functions f and g is that lim f(x) = ∞, lim f(x) ⁹(x) x48 Which of the following limits is guaranteed to exist? lim f(x) g(x) x→∞ lim f(x) = g(x) w . lim x48 xxx f(x) g(x) lim g(x)= = x-x lim f(x) + g(x) x48 -∞.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Suppose that the only thing we know about functions f and g is that
lim f(x) = ∞,
lim g(x) =
xx
x→∞
Which of the following limits is guaranteed to exist?
lim f(x)⁹(*)
x →∞
lim f(x) g(x)
x x
lim f(x) - g(x)
lim
x →∞
f(x)
g(x)
lim f(x) + g(x)
x→∞
= -0.
Transcribed Image Text:Suppose that the only thing we know about functions f and g is that lim f(x) = ∞, lim g(x) = xx x→∞ Which of the following limits is guaranteed to exist? lim f(x)⁹(*) x →∞ lim f(x) g(x) x x lim f(x) - g(x) lim x →∞ f(x) g(x) lim f(x) + g(x) x→∞ = -0.
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