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Trigonometry
Question

The greatest integer function \(f ( x ) = \lfloor...

The greatest integer function \(f ( x ) = \lfloor x \rfloor\) , defined for all values of \(x\) , assumes a local maximum value of \(0\) at each point of \([ 0,1 )\) . Could any of these local maximum values also be local minimum values of \(f\) ? Give reasons for your answer.

Answer

\(\text { Yes, except at } x = 0\)

Solution
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