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JEE Math Practice Question

The set of all values of $$a$$ for which $$\mathop {\lim }\limits_{x \to a} ([x - 5] - [2x + 2]) = 0$$, where [$$\alpha$$] denotes the greatest integer less than or equal to $$\alpha$$ is equal to

  1. A.$$[-7.5,-6.5]$$
  2. B.$$(-7.5,-6.5]$$
  3. C.$$[-7.5,-6.5)$$
  4. D.$$(-7.5,-6.5)$$

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