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Let the function g,(-oo,oo)rarr(-pi/2,pi...

Let the function `g,(-oo,oo)rarr(-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 and is strictly increasing in `(-oo,oo)`

D

neither even nör ödd , but is strictly Increasing in `(-oo.oo)`

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The correct Answer is:
C
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