Every rational number x may be written in the form x = m/n with n > 0 and m, n coprime integers. Define the function f : (0, 1) → R with { 0 f(x) = { At which points is f continuous? n if x irrational if x rational and x = m n
Every rational number x may be written in the form x = m/n with n > 0 and m, n coprime integers. Define the function f : (0, 1) → R with { 0 f(x) = { At which points is f continuous? n if x irrational if x rational and x = m n
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.4: Fundamental Theorem Of Algebra And Descartes' Rule Of Signs
Problem 45E
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![Every rational number x may be written in the form x = m/n with n > 0 and
m, n coprime integers. Define the function f : (0, 1)→ R with
Jo
f(x) = {
At which points is f continuous?
1
n
if x irrational
X
if x rational and x =
m
n](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe15ed467-90ec-4e60-afef-3d3f6119f74d%2Fe177c6e7-b519-46ea-860d-3f379c2d25a7%2F8gu7djk_processed.png&w=3840&q=75)
Transcribed Image Text:Every rational number x may be written in the form x = m/n with n > 0 and
m, n coprime integers. Define the function f : (0, 1)→ R with
Jo
f(x) = {
At which points is f continuous?
1
n
if x irrational
X
if x rational and x =
m
n
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