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x -[x/2] -[x/3] -[x/6]

Source: Argentina 1998 OMA L3 p4

May 13, 2024
floor functionalgebranumber theory

Problem Statement

Determine all possible values of the expressionx−[x2]−[x3]−[x6]x-\left [\frac{x}{2}\right ]-\left [\frac{x}{3}\right ]-\left [\frac{x} {6}\right ]by varying xx in the real numbers.
Clarification: The brackets indicate the integer part of the number they enclose.
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