Let f be a function defined on JO, 1[ by : 0, if x is irrațional f (x) ={1/q, if x=p/q; where p and q are positive integers having no common factor. Prove that f is continuous at each irrational point and discontinuous at each rational point.
Let f be a function defined on JO, 1[ by : 0, if x is irrațional f (x) ={1/q, if x=p/q; where p and q are positive integers having no common factor. Prove that f is continuous at each irrational point and discontinuous at each rational point.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.5: Applications
Problem 27EQ
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