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Limits, Continuity and Differentiability

Section: Mathematics

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Question : 49

Total: 51

Let the function g : (- ∞ , ∞) → (−

) be given by g (u) = 2tan−1(eu)−

[JEE Adv 2008 P2]

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 (−∞, ∞).

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