Show that out of {[x,2x,..,(n-1)x]} there must be one which differ from an integer by at most 1n. Where x is a given real number and n is a given positive integer.
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Show that out of {[x,2x,..,(n-1)x]} there must be one which differ from an integer by at most 1n. Where x is a given real number and n is a given positive integer.