Af function is said to have a "fixed point" if there is some point p where f (p) = p. Show that the function f(x) = cos(x) has a fixed point in the interval [0, 5].

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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COURSE: Mathematical Analysis/Real Analysis (CC4)

TOPIC: Continuity + Connectedness 

A function is said to have a "fixed point" if there is some point \( p \) where \( f(p) = p \). Show that the function \( f(x) = \cos(x) \) has a fixed point in the interval \([0, \frac{\pi}{2}]\).
Transcribed Image Text:A function is said to have a "fixed point" if there is some point \( p \) where \( f(p) = p \). Show that the function \( f(x) = \cos(x) \) has a fixed point in the interval \([0, \frac{\pi}{2}]\).
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