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12 Feb 2023
Let f(x) be a real valued function defined on the interval [0, 1] such that f(0) = 0 and f(1) = 1. Prove that there exists a point c in the interval (0, 1) such that f(c) = c. (This statement is known as the "Intermediate Value Theorem").
Let f(x) be a real valued function defined on the interval [0, 1] such that f(0) = 0 and f(1) = 1. Prove that there exists a point c in the interval (0, 1) such that f(c) = c. (This statement is known as the "Intermediate Value Theorem").
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