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If the function g:(-oo,oo)->(-pi/2,pi/2)...

If the function `g:(-oo,oo)->(-pi/2,pi/2)` is 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 nor odd, but is strictly increasing in `(-oo,oo)`

Text Solution

Verified by Experts

The correct Answer is:
C
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