Let $f(x)=nx+n-[nx+n]+\tan(\frac{πx}{2})$, where [x] is the greatest integer ≤ x and n ∈ N. It is
Answer & explanation
Correct answer: option 4
$nx+n-[nx+n]$ has period 1/n and $\tan(\frac{1}{2}πx)$ has the period $\frac{π}{π/2}=2$
L.C.M of 1/n and 2 is 2
∴ f(x) is a period function of period 2.