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JEE Math Practice Question

$$\mathop {\lim }\limits_{x \to 0} {{\int_0^x {t\sin \left( {10t} \right)dt} } \over x}$$ is equal to

  1. A.$$ - {1 \over 5}$$
  2. B.$$ - {1 \over 10}$$
  3. C.0
  4. D.$$ {1 \over 10}$$

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