Find all the points of discontinuity of the greatest integer function defined by `f(x) = [x]`, where

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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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Sir if the x which is not an integer in the case 2 lies very near the point on the right side the the box c+1 will be attained in place of c and then the function would not be continuous

ajaynamdev
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Phle english km kariye sir apni and your explanation is not so good

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