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JEE Math Practice Question

$$\mathop {\lim }\limits_{x \to 0} {{\log {x^n} - \left[ x \right]} \over {\left[ x \right]}}$$, $$n \in N$$, ( [x] denotes the greatest integer less than or equal to x )

  1. A.has value $$ -1$$
  2. B.has value $$0$$
  3. C.has value $$1$$
  4. D.does not exist

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