Prove that lim x-√3 1 1 3 C For a function f(x) that is defined in an open interval about c, except possibly at c itself, the limit of f(x) as x approaches c is the number L if, for every number e > 0, there exists a corresponding number 8>0 such that for all x, 0

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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K
Prove that lim
1 1
3
x-√3 x
sk my instructor
G
For a function f(x) that is defined in an open interval about c, except possibly at c itself, the limit of f(x) as x approaches c is the number L if, for every number e > 0, there exists a corresponding
number 8>0 such that for all x, 0<x-c| <8 implies that f(x)-L<e.
To prove the given limit statement, it is necessary to show that for all x, if 0<x-<8, then 2-<e
(Type exact answers, using radicals as needed.).
1
Clear all
Check answer
Transcribed Image Text:K Prove that lim 1 1 3 x-√3 x sk my instructor G For a function f(x) that is defined in an open interval about c, except possibly at c itself, the limit of f(x) as x approaches c is the number L if, for every number e > 0, there exists a corresponding number 8>0 such that for all x, 0<x-c| <8 implies that f(x)-L<e. To prove the given limit statement, it is necessary to show that for all x, if 0<x-<8, then 2-<e (Type exact answers, using radicals as needed.). 1 Clear all Check answer
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