If f(x)= 1 [ x] where [.] denotes the greatest function, then
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If \(f(x)=\frac{1}{[\sin x]}\) where [.] denotes the greatest function, then
- Domain of f (x) is (2nπ + π, 2nπ + 2π) ∪ \(\left\{2 \mathrm{n} \pi+\frac{\pi}{2}\right\}\)
where n ∈ I - f (x) is continuous when x ∈ (2nπ + π, 2nπ + 2π)
- f (x) is differentiable at x = π/2
- None of these
Answer
(A) Domain of f (x) is (2n π + π , 2n π + 2 π ) ∪ 2 n + 2 where n ∈ I, (B) f (x) is continuous when x ∈ (2n π + π , 2n π + 2 π )
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