Range of f(x) is (2,261/2)
Hence range of f(x)/c is (2/c,261/2/c)
Now greatest integer function is discontinuous at integral points.
Hence [f(x)/c] would be continuous if its range is only an integer.
Hence [2/c] = [261/2/c]
which is possible for c = 6,7,8,9,10...............
Hence least value of c is 6.
Moderation Team
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