If a, b = R be fixed positive numbers such that for all x f(a + x)=b+ [b³ + 1-3b². f(x) + 3b{f(x)}² - {f(x)}]³ R then prove that f(x) is a periodic function.
If a, b = R be fixed positive numbers such that for all x f(a + x)=b+ [b³ + 1-3b². f(x) + 3b{f(x)}² - {f(x)}]³ R then prove that f(x) is a periodic function.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 3E
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