$f(x)=\frac{\sin π[π-x]}{3+[x]}$ is, (where [·] represents greatest integer function)
Answer & explanation
Correct answer: option 3
$f(x)=\left\{\begin{matrix}0&;&x ∈ R-[–3, –2)\\N.D.&;&x ∈ [–3, –2)\end{matrix}\right.$
∴ f (x) is continuous and differentiable for all x ∈ R ~ [– 3, – 2).