Let f (x) = [n + p sin x], x ∈ (0, π), n ∈ I, p is a prime number and [x] denotes the…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let f (x) = [n + p sin x], x ∈ (0, π), n ∈ I, p is a prime number and [x] denotes the greatest integer less than or equal to x. The number of points at which f (x) is not differentiable is
- p – 1
- p
- 2 p + 1
- 2 p – 1
Answer
(D) 2 p – 1
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