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Black Book Advanced Problems in MathematicsMathematicsFunctions

The range of function f(x) = [1 + x] + [2 + x 2 ] + [3 + x 3 ] + + [n + x n ] x [0, ] , n N ( [ ] denotes greatest integer function) is :

Options

  1. An^2+n-2 2 , n(n+1) 2
  2. Bn(n+1) 2
  3. Cn(n+1) 2 , n^2+n+2 2 , n^2+n+4 2
  4. Dn(n+1) 2 , n^2+n+2 2

Correct answer

D. n(n+1) 2 , n^2+n+2 2

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