Question: Prove that given a real number x there exist unique numbers n and such that x = n - , n is an integer,

Prove that given a real number x there exist unique numbers n and ε such that x = n - ε, n is an integer, and 0 ≤ ε < 1.

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If x is itself an integer then we can take n x and 0 No other solution is possible ... View full answer

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