(b) Let g(x)=√x with domain {x|x ≥ 0}, and let > 0 be given. For each c> 0, show that there exists a & such that |x-c ≤ 8 implies √x - √ ≤€.
(b) Let g(x)=√x with domain {x|x ≥ 0}, and let > 0 be given. For each c> 0, show that there exists a & such that |x-c ≤ 8 implies √x - √ ≤€.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
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![(b) Let g(x)=√x with domain {x|x>0}, and let € > 0 be given. For each c > 0,
show that there exists a & such that lx-c ≤ 8 implies √x - √e≤e.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd6e3d76e-590f-4b33-8ea3-40feaa5c4706%2F4da94689-da4d-4e45-9beb-b619db3ee758%2Fdqv43et_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) Let g(x)=√x with domain {x|x>0}, and let € > 0 be given. For each c > 0,
show that there exists a & such that lx-c ≤ 8 implies √x - √e≤e.
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