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. Let ƒ € C[0, 1] and f(0) = f(1). Prove: 3x0 = [0, 1], such that ƒ (xo) = ƒ (xo + ½}).

. Let ƒ € C[0, 1] and f(0) = f(1). Prove: 3x0 = [0, 1], such that ƒ (xo) = ƒ (xo + ½}).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 11E
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. Let ƒ € C[0, 1] and f(0) = f(1). Prove: 3x0 = [0, 1], such that ƒ (xo) = ƒ (xo + ½}).
Transcribed Image Text:. Let ƒ € C[0, 1] and f(0) = f(1). Prove: 3x0 = [0, 1], such that ƒ (xo) = ƒ (xo + ½}).
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