The following information are known about a function f(x): • f(2)=1 lim f(x) does exist x → 2 What other information is required to demonstrate that the function is continuous at x = 2 ? Select one alternative: lim f(x) = 1 x → 2 lim f(x) = lim f(x) x → 2- x → 2+ lim f(x) > 0 x → 2 lim f(x) = ∞ x → 2

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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The following information are known about a function f(x):
• f(2)=1
lim f(x) does exist
x → 2
What other information is required to demonstrate that the function is continuous at x = 2 ?
Select one alternative:
lim f(x) = 1
x → 2
lim f(x)
x → 2-
=
lim f(x) > 0
x → 2
lim f(x)
x → 2+
lim f(x) = ∞
x → 2
Transcribed Image Text:The following information are known about a function f(x): • f(2)=1 lim f(x) does exist x → 2 What other information is required to demonstrate that the function is continuous at x = 2 ? Select one alternative: lim f(x) = 1 x → 2 lim f(x) x → 2- = lim f(x) > 0 x → 2 lim f(x) x → 2+ lim f(x) = ∞ x → 2
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