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ASU 257 All Soviet Union MO 1978 |x_m-x_k|>1/|m-k|

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July 6, 2019
Sequenceinequalitiesalgebra

Problem Statement

Prove that there exists such an infinite sequence {xi}\{x_i\}, that for all mm and all kk (m≠km\ne k) holds the inequality ∣xm−xk∣>1/∣m−k∣|x_m-x_k|>1/|m-k|
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