Question: Let f(x) be a continuous function from the closed interval [a, b] into itself. Show that f(x) has a fixed point, that is, a

Let f(x) be a continuous function from the closed interval [a, b]

Let f(x) be a continuous function from the closed interval [a, b] into itself. Show that f(x) has a fixed point, that is, a point x such that f(x) = x.

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