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Let g(x) = tan^(-1)|x| - cot^(-1)|x|, f(...

Let `g(x) = tan^(-1)|x| - cot^(-1)|x|, f(x) = ([x])/([x+1]) {x}, h{x} =|g(f(x))|` then which of the following holds good? (where {*} denotes fractional part and {*} denotes the integral part)

A

h is continous at x=0

B

h is discontinous at x=0

C

`h(0^(-))=pi//2`

D

`h(0^(+)) = -pi//2`

Text Solution

Verified by Experts

The correct Answer is:
D
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