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JEE MATHEMATICS MCQ: FUNCTIONS

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The real valued function f(x)=cosec−1xx−[x]′f(x) = \frac{{\mathrm{cose}{\mathrm{c}^{ - 1}}x}}{{\sqrt {x - [x]'} }} where [x]\left[ x \right] denotes the greatest integer less than or equal to xx, is defined for all xx belonging to
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Correct option: B
all non-integers expect the interval [-1, 1]
Option B is correct because the function is defined when |x| >= 1 and x is not an integer, excluding the interval [-1, 1].

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