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Let f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x))...

Let `f(x)=tan^(-1)((sqrt(1+x^(2))-1)/(x))` then which of the following is correct :

A

f(x) hs only one integer in its range

B

Range of f(x) is `(-(pi)/(4), (pi)/(4))-{0}`

C

Range of f(x) is `(-(pi)/(2), (pi)/(2))-{0}`

D

Range of f(x) is `[ -(pi)/(4), (pi)/(4)]-{0}`

Text Solution

Verified by Experts

The correct Answer is:
B
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