7-3x x<2 Prove that lim f(x) = 1 if f(x) = %3D x2 4x-7 x22 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| <& implies that f(x) - L|
7-3x x<2 Prove that lim f(x) = 1 if f(x) = %3D x2 4x-7 x22 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| <& implies that f(x) - L|
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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Transcribed Image Text:7-3x x<2
Prove that lim f(x) = 1 if f(x) =
%3D
x2
4x-7 x22
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| <& implies that f(x) - L| <e.
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