let x y z be three positive real numbers such that x+y+z=1 then find the maximum value of [(1-x)(1-y)(1-z)]where [.] represents greatest integer function
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Greatest integer function graph
When the intervals are in the form of (n, n+1), the value of greatest integer function is n, where n is an integer. For example, the greatest integer function of the interval [3,4) will be 3. The graph is not continuous. For instance, below is the graph of the function f(x) = ⌊ x ⌋.
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