Explanation OF periodic function and Type 1,2,3,4 to calculate period OF function

Periodic functions

Periodic Functions

What is periodic function

Wat is a periodic wave function?

If f is a periodic function then

Periodic function Properties

If f is a periodic function and g is a non-periodic function , then

Let f(x)=nx + n-[nx + n]+tan((pix)/ 2) , where 9, [x] is the greatest integers function le x and n in N.It is 1) a periodic function of period1 2) a periodic function of period 4 3) not periodic 4) a periodic function of period 2

Prove that the derivative of a periodic function of period T is a periodic function of period T.