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JEE Math Practice Question

The value of $$\mathop {\lim }\limits_{n \to \infty } {{[r] + [2r] + ... + [nr]} \over {{n^2}}}$$, where r is a non-zero real number and [r] denotes the greatest integer less than or equal to r, is equal to :

  1. A.r
  2. B.$${r \over 2}$$
  3. C.0
  4. D.2r

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