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Let $g x = tan − 1 x − cot − 1 x,$ $f x = x x + 1 x, h x = g f x$ where {x} denotes fractional part and [x] denotes an integral part of ‘x’ then which of the following is true.

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h 0 + = π / 2

h 0 − = − π / 2

h 0 − = π / 2

h 0 + = − π / 2

answer is A.

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Detailed Solution

h (0 +) = g (f (0 +)) = g (0)

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