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JEE Math Practice Question

The value of $$\mathop {\lim }\limits_{x \to {0^ + }} {{{{\cos }^{ - 1}}(x - {{[x]}^2}).{{\sin }^{ - 1}}(x - {{[x]}^2})} \over {x - {x^3}}}$$, where [ x ] denotes the greatest integer $$ \le $$ x is :

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

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