A function f(x) is said to be continuous at x = c if the following three conditions are satisfied: (i) (ii) f(c) exists lim f(x) exists f(c) = lim f(x) = lim f(c) (i)

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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A function f(x) is said to be continuous at x = c if the following three conditions are satisfied:
(i)
(ii)
f(c) exists
lim f(x) exists
f(c) = lim f(x) = lim f(c)
(iii)
Transcribed Image Text:A function f(x) is said to be continuous at x = c if the following three conditions are satisfied: (i) (ii) f(c) exists lim f(x) exists f(c) = lim f(x) = lim f(c) (iii)
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