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Black Book Advanced Problems in MathematicsMathematicsLimits

If f(x) = _ n x ( 3 2 + [ x] ( n^2 + 1 - n^2 - 3n + 1 ) ) where [y] denotes largest integer y , then identify the correct statement(s).

Options

  1. A(a) _ x 0 f(x) = 0
  2. B(b) _ x 2 f(x) = 3 4
  3. C(c) f(x) = 3x 2 x [0, 2 ]
  4. D(d) f(x) = 0 x ( 2 , 3 2 )

Correct answer

A. (a) _ x 0 f(x) = 0

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