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f(x)=[x] + [2x] + [3x] +........+[nx] – nx(n+1)/2 where [.] denotes greatest integer function. Find the period of the function above. 0 clue on how to begin with this one, would appreciate some tips on how to approach periodic functions within series, I constantly do badly at these type of problems

f(x)=[x] + [2x] + [3x] +........+[nx] – nx(n+1)/2

where [.] denotes greatest integer function. Find the period of the function above.
 
0 clue on how to begin with this one, would appreciate some tips on how to approach periodic functions within series, I constantly do badly at these type of problems

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