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 ExamsLimit, 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
  1. b = 0, c = 0, a R
  2. a = 0, c = 0, b R
  3. a = 0, b = 0, c R
  4. None of these

Answer

(C) a = 0, b = 0, c ∈ R

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