Suppose that f: [a, b][a,b] is continuous. Prove that there is at least one fixed point in[a, b] - that is, x such that f(x)=x.
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Originally Posted by lacy1104 Suppose that f: [a, b][a,b] is continuous. Prove that there is at least one fixed point in[a, b] - that is, x such that f(x)=x. Hint: Define . Now use intermediate value theorem to show has a zero on .
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