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If f(x) is continuous such that abs(f(x)...

If f(x) is continuous such that `abs(f(x)) le 1, forall x in R " and " g(x)=(e^(f(x))-e^(-abs(f(x))))/(e^(f(x))+e^(-abs(f(x)))),` then range of g(x) is

A

[0,1]

B

`[0,(e^(2)-1)/(e^(2)+1)]`

C

`[0,(e^(2)+1)/(e^(2)-1)]`

D

`[(1-e^(2))/(1+e^(2)),0]`

Text Solution

Verified by Experts

The correct Answer is:
B
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