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Find all the points of discontinuity of the greatest integer function defined by `f(x) = [x]`, where [x] denotes the greatest integer less than or equal to x.

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To find all the points of discontinuity of the greatest integer function defined by \( f(x) = [x] \), where \([x]\) denotes the greatest integer less than or equal to \( x \), we can follow these steps: ### Step 1: Understanding the Function The greatest integer function \([x]\) returns the largest integer that is less than or equal to \( x \). For example: - \([2.3] = 2\) - \([4] = 4\) - \([-1.5] = -2\) ...
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