# 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?

• 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?

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? Find ...
Positive: 81 %
Find right answers right now! 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 ...
Positive: 78 %

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I understand that a root of $f'$ represents an extreme point. But, for example, $f(x) ... F$ is continuous on $[a,b]$, $F'(x)$ exists ... show that there ...
Positive: 81 %
Suppose that exists $c>0$ such that $||f(x)-f(y)||\geq c ... You can show that$f'(x) ... {h\to 0}\dfrac{\|f(x+hv)-f(x)\|}{|h|}=0$, so there exists$\delta ...
Positive: 76 %
Solutions for the First Midterm 207, ... any ε > 0 there exists an interval I such that m ... continuous function f(x) is continuous. (ii) Show that if a ...