Let f : [0, 1] → R be continuous, such that ƒ (0) = ƒ(1). Prove that there exists x in [0, }] such that f(x) = f(x + ¾).
Let f : [0, 1] → R be continuous, such that ƒ (0) = ƒ(1). Prove that there exists x in [0, }] such that f(x) = f(x + ¾).
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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