JEE MainMathematicsToughContinuity and derivability

denotes greatest integer function then,

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f(x) = 1 + x\lbrack cosx\rbrack;0 < x \leq \frac{\pi}{2}

f (x) =1 + 0 = 1

\Rightarrow

f (x) is constant in

\left( 0,\frac{\pi}{2} \right\rbrack

\Rightarrow

f (x) is constant and different
able

\forall x \in \left( 0,\frac{\pi}{2} \right\rbrack

Source: Grass-G / M-09 Mathematics Paper 26 October.docx

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