(1) [10 Marks] Suppose f: [a, b] [a, b] is a continuous function. Prove that there exists a ce [a, b] such that f(c) = = c.
(1) [10 Marks] Suppose f: [a, b] [a, b] is a continuous function. Prove that there exists a ce [a, b] such that f(c) = = c.
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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![(1) [10 Marks] Suppose f: [a, b] → [a, b] is a continuous function. Prove that there exists a c e [a, b] such that
f(c) = c.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7651b78-0fd3-4078-bc0a-049bb2837de4%2F5d846551-e03e-4d9a-8243-6923645975ce%2F4ek532p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(1) [10 Marks] Suppose f: [a, b] → [a, b] is a continuous function. Prove that there exists a c e [a, b] such that
f(c) = c.
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