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JEE Math Practice Question

Let [x] denote the greatest integer less than or equal to x. Then $$\mathop {\lim }\limits_{x \to 0} {{\tan \left( {\pi {{\sin }^2}x} \right) + {{\left( {\left| x \right| - \sin \left( {x\left[ x \right]} \right)} \right)}^2}} \over {{x^2}}}$$

  1. A.equals $$\pi $$ + 1
  2. B.equals 0
  3. C.does not exist
  4. D.equals $$\pi $$

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