Prove that given a real number x there exist unique numbers n and such that x

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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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Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

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Question Posted: May 02, 2016 12:14 PM

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Prove that given a real number x there exist unique numbers n and such that x

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

Discrete Mathematics and Its Applications

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