Let [x] denotes the greatest integer less than or equal to x. If f (x) = [x sin π x]…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let [x] denotes the greatest integer less than or equal to x. If f (x) = [x sin π x], then f (x) is
- continuous at x = 0
- continuous in (–1, 0)
- differentiable at x = 1
- differentiable in (–1, 1)
Answer
(A) continuous at x = 0, (B) continuous in (–1, 0), (D) differentiable in (–1, 1)
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