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JEE Math Practice Question

For each t $$ \in R$$, let [t] be the greatest integer less than or equal to t. Then $$\mathop {\lim }\limits_{x \to {0^ + }} x\left( {\left[ {{1 \over x}} \right] + \left[ {{2 \over x}} \right] + ..... + \left[ {{{15} \over x}} \right]} \right)$$

  1. A.does not exist in R
  2. B.is equal to 0
  3. C.is equal to 15
  4. D.is equal to 120

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