Let n \ge 2 be a natural number and f:[0,1] to R be the function defined by f(x) = n(1-2nx) …

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Let n≥2 be a natural number and f: [0,1] → R be the function defined byf(x) = {(n(1-2nx) if 0≤x≤1

Let n 2 be a natural number and f:[0,1] R be the function defined by: f(x) = { n(1-2nx) if 0 x 1/2n

Let n ≥ 2 be a natural number and f : [0,1] → R be the function defined by  f(x)
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Let n ≥ 2 be a natural number and f : [0,1] → R be the function defined by f(x)= n(1-2nx) if 0≤x≤1/2

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Germany | Can you solve this problem? | Math Olympiad