If f(x)= 1 2 x-1 , where [∙] denotes the greatest integer function, then on the interval…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
If \(f(x)=\frac{1}{2} x-1\), where [∙] denotes the greatest integer function, then on the interval \([0, \pi]\)
- \(\tan [f(\mathbf{x})]\) and \(1 / f(x)\) are both continuous
- \(\tan [f(\mathbf{x})]\) and \(1 / f(x)\) are both discontinuous
- \(\tan [f(\mathbf{x})]\) is continuous but \(1 / f(x)\) is not continuous
- None of these
Answer
(B) [f( x )] and 1 / f(x) are both discontinuous
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