Let the function g : (- ∞ , ∞) → (-\pi/2,\pi/2) be given by g (u) = 2tan^{-1}(e^u) - \pi/2 . Then , g is [JEE Adv 2008 P2]

Correct Answer is : odd and is strictly increasing in (−∞, ∞).

even and is strictly increasing in (0, ∞).

odd and is strictly decreasing in (−∞, ∞).

odd and is strictly increasing in (−∞, ∞).

neither even nor odd, but is strictly increasing in (−∞, ∞).

Limits, Continuity and Differentiability

Section: Mathematics

Question : 49 of 51

Marks: +1, -0

Let the function g : (- ∞ , ∞) → (−

) be given by g (u) = 2tan−1(eu)−

. Then , g is

[JEE Adv 2008 P2]

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