Assume f: [0, 1] → [0, 1] is continuous. Prove there is an x = [0, 1] such that f(x) = x
Assume f: [0, 1] → [0, 1] is continuous. Prove there is an x = [0, 1] such that f(x) = x
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can use basic facts about sequences.
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Transcribed Image Text:4. Assume f: [0, 1] → [0, 1] is continuous. Prove there is an x € [0, 1] such
that f(x) = x
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