Let f (x) = a [x] + b e |x| + c |x| 2 , where a, b and c are real constants. where [x]…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let f (x) = a [x] + b e|x| + c |x|2, where a, b and c are real constants. where [x] denotes greatest integer < x. If f (x) is differentiable at x = 0, then
- b = 0, c = 0, a ∈ R
- a = 0, c = 0, b ∈ R
- a = 0, b = 0, c ∈ R
- None of these
Answer
(C) a = 0, b = 0, c ∈ R
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