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Suppose f: [0,1] → [0,1] is continuous. Show that f has a fixed point in other words, show that there exists an x ∈ [0,1] such that f(x) = x?

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  • Suppose f: [0,1] → [0,1] is continuous. Show that f has a fixed point in other words, show that there exists an x ∈ [0,1] such that f(x) = x?


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