If f is a differentiable function satisfying = 0 for all n ≥ 1, n ∈ I , then
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If f is a differentiable function satisfying
= 0 for all n ≥ 1, n ∈ I, then
- f
′(0) = 0 = f (0) - |f (x)|
≤ 1, x ∈(0, 1) - f (x) = 0, x
∈(0, 1] - f (0) = 0 but f
′(0) not necessarily zero
Answer
(A) f ′ (0) = 0 = f (0)
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