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JEE Math Practice Question

For each x$$ \in $$R, let [x] be the greatest integer less than or equal to x. Then $$\mathop {\lim }\limits_{x \to {0^ - }} \,\,{{x\left( {\left[ x \right] + \left| x \right|} \right)\sin \left[ x \right]} \over {\left| x \right|}}$$ is equal to :

  1. A.$$-$$ sin 1
  2. B.1
  3. C.sin 1
  4. D.0

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