Select all of the following that need to be analyzed (or looked at) when deciding if a function, f (x), is continuous at x = c (where c is a real number). ✔lim f (x) exists. →C lim f(x) = 0 x→C You do not need to analyze (or look for) any of these conditions. Of (c) exists. ✔lim f (x) = f(c) x→C

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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Select all of the following that need to be analyzed (or looked at) when deciding if a function, ƒ (x),
is continuous at x = c (where c is a real number).
✔lim f (x) exists.
x→C
lim f(x) = 0
→→C
You do not need to analyze (or look for) any of these conditions.
Of (c) exists.
lim f(x) = f(c)
→→C
Transcribed Image Text:Select all of the following that need to be analyzed (or looked at) when deciding if a function, ƒ (x), is continuous at x = c (where c is a real number). ✔lim f (x) exists. x→C lim f(x) = 0 →→C You do not need to analyze (or look for) any of these conditions. Of (c) exists. lim f(x) = f(c) →→C
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