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.)
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
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 27E
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29a00d47-0355-4160-b226-d4633ff62022%2Fe7b69cb8-577d-4a83-b397-5ae213b42a6a%2Fjj1amm4_processed.jpeg&w=3840&q=75)
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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