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JEE Math Practice Question

$$\mathop {\lim }\limits_{x \to 1} \left( {{{\int\limits_0^{{{\left( {x - 1} \right)}^2}} {t\cos \left( {{t^2}} \right)dt} } \over {\left( {x - 1} \right)\sin \left( {x - 1} \right)}}} \right)$$

  1. A.is equal to 0
  2. B.is equal to $${1 \over 2}$$
  3. C.does not exist
  4. D.is equal to $$ - {1 \over 2}$$

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