Let f(x)=n x+n-[n x+n]+ x 2 , where [ x ] is the greatest integer ≤ x and nE N. It is
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
\(\text { Let } f(x)=n x+n-[n x+n]+\tan \frac{\pi x}{2}\), where [\(\mathbf{x}\)] is the greatest integer ≤ \(\mathbf{x}\) and \(\text { nE }\)N. It is
- a periodic function of period 1
- a periodic function of period 4
- not periodic
- a periodic function of period 2
Answer
(D) a periodic function of period 2
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