If ^ -1 (x-1)+ ^ -1 x+ ^ -1 (x+1)= ^ -1 3 x , then x is

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

If \(\tan ^{-1}(x-1)+\tan ^{-1} x+\tan ^{-1}(x+1)=\tan ^{-1} 3 x\), then x is
  1. \(\pm \frac{1}{2}\)
  2. \(0 . \frac{1}{2}\)
  3. \(0 .-\frac{1}{2}\)
  4. \(0 . \pm \frac{1}{2}\)

Answer

(D) 0 . 1 2

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