If [x] denotes the greatest integer less than or equal to ` x and n in N , ` then ` f(X)= nx+n-[nx+n]+tan""(pix)/(2)` , isA. a periodic function with period 1B. a periodic function with period 4 .C. not periodicD. a periodic function with period 2.

If [x] denotes the greatest integer less than or equal to ` x and n in

1.	If [x] denotes the greatest integer less than or equal to ` x and n in N , ` then ` f(X)= nx+n-[nx+n]+tan""(pix)/(2)` , isA. a periodic function with period 1B. a periodic function with period 4 .C. not periodicD. a periodic function with period 2.
Answer» Correct Answer - D For ` n in N`, we find that `nx+n-[nx+n]=nx-[nx]` is a periodic with period `(1)/(n)`, because x-[x] is periodic with period 1. Also , ` tan""(pix)/(2)` is periodic with period `(pi)/(pi//2)=2` Hence , f(x) is periodic with period 2, i.e., the LCM of `(1)/(n)` and 2 .

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