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

Let the function g:`(-oo,oo)rarr (-pi //2,pi//2)` be given by g(u) `= 2 tan^(-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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