Let [ x ] denote the greatest integer less than (or) equal to x . If f ( x ) = [ x sin π…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let [x] denote 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)
- none of these
Answer
(E) none of these
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