If f ( x ) = then, on the interval [0, π], where [ x ] denotes the greatest integer…

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

If f (x) = then, on the interval [0, π], where [x] denotes the greatest integer function of x.
  1. and are both continuous
  2. tan[f(x)]and 1/f(x) are both discontinuous
  3. tan [f(x)] and f–1(x) are both continuous
  4. tan[f(x)] is continuous but 1/f(x) is not

Answer

(D) tan[ f ( x )] is continuous but 1/ f ( x ) is not

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