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Let the function g:(-oo, oo) to (-(pi)/(...

Let the function `g:(-oo, oo) to (-(pi)/(2), (pi)/(2))` be given by `g(u)=2tan^(-1)(e^(u))-(pi)/(2)`. Then g is :

A

even and is strictly increasing in `(0,oo)`

B

odd and is strictly decreasing in `(-oo,oo)`

C

odd is strictly increasing in `(-oo,oo)`

D

neither even nor odd but is strictly increasing in `(-oo,oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
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