The greatest value of f( x )=( x +1)^ 1 / 3 -( x -1)^ 1 / 3 on [0, 1] is

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

The greatest value of \(f(\mathbf{x})=(\mathbf{x}+1)^{1 / 3}-(\mathbf{x}-1)^{1 / 3}\) on [0, 1] is
  1. 1
  2. 2
  3. 3
  4. 1/3

Answer

(A) 1

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