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Limits Continuity And Differentiability

WB JEE 2011

SUBJECTIVE+2 / -02011

Let R be the set of real numbers and f : R \(\to\) R be such that for all x, y \(\in\) R, \(|f(x) - f(y)| \le |x - y{|^3}\). Prove that f is a constant function.

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