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$\displaystyle \lim_{x \rightarrow a}\frac{1}{x^{2}-a^{2}} \displaystyle \int_{a}^{x}\sin (t^{2})dt=$?

  1. $2a \sin (a^{2})$
  2. $2a$
  3. $\sin (a^{2})$
  4. None of the above
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