Suppose that f: [a, b] → R is a continuous function, and f f = 0 for every rational number in the interval [a, b]. Show that the function f is identically equal to 0.
Suppose that f: [a, b] → R is a continuous function, and f f = 0 for every rational number in the interval [a, b]. Show that the function f is identically equal to 0.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 54E
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