Let [.] denotes the greatest integer function and f( x )= [ ^ 2 x ] , then
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let [.] denotes the greatest integer function and \(f(\mathbf{x})=\left[\tan ^{2} \mathbf{x}\right]\), then
- \(\lim _{x \rightarrow 0} f(x)\) does not exist
- f (x) is continuous at x = 0
- f (x) is not differentiable at x = 0
- \(f^{\prime}(0)=1\)
Answer
(A) _ x 0 f(x) does not exist
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