For the given function f(x) and values of L, c, and e>0 find the largest open interval about c on which the inequality |f(x) - L|0 such that 0< |x- c| <8 + If(x)-L f(x) = 2x +7, L= 13, c= 3, e=0.16 The largest open interval about c on which the inequality [f(x) - L|

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 79E
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For the given function f(x) and values of L, c, and ɛ > 0 find the largest open interval about c on which the inequality |f(x) – L| < 8ɛ holds. Then determine the largest value for 8>0 such that 0< |x - c| < 8 → |f(x) – L| < e.
f(x) = 2x + 7, L = 13, c= 3, e=0.16
......
The largest open interval about c on which the inequality |f(x) – L| <ɛ holds is.
(Use interval notation.)
Transcribed Image Text:For the given function f(x) and values of L, c, and ɛ > 0 find the largest open interval about c on which the inequality |f(x) – L| < 8ɛ holds. Then determine the largest value for 8>0 such that 0< |x - c| < 8 → |f(x) – L| < e. f(x) = 2x + 7, L = 13, c= 3, e=0.16 ...... The largest open interval about c on which the inequality |f(x) – L| <ɛ holds is. (Use interval notation.)
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