If f(x)=2 ^ -1 x+ ^ -1 ( 2 x 1+x^ 2 ), x>1 , then f (5) is equal to

Mathematics · JEE Main · NTA Exams — Relations , Functions & Inverse Trigonometric Functions

If \(f(x)=2 \tan ^{-1} x+\sin ^{-1}\left(\frac{2 x}{1+x^{2}}\right), x>1\), then f(5) is equal to
  1. π/2
  2. π
  3. 4tan–1(5)

Answer

(B) π

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