Using ɛ-d argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x] is the greatest integer smaller or equal to x.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 63E
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Using ɛ-6 argument, prove that f(x) = x-[x] is
continuous at all x ERexcept the integers. (Note: [x] is
the greatest integer smaller or equal to x.)
Transcribed Image Text:Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x] is the greatest integer smaller or equal to x.)
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