Do you know its property ?-8

Algebra Level 5

Which of the following functions are periodic?

\(\large a. ~~~\text{sgn}\left(e^{-x}\right)\)

\(\large b.~~~|\sin x| +\sin x\)

\(\large c.~~~\min(4\cos x,|x|)\)

\(\large d.~~~\left\lfloor x+\dfrac{1}{2}\right\rfloor +\left\lfloor x-\dfrac{1}{2}\right\rfloor +2\lfloor -x\rfloor\)

Details and Assumptions:

  • \(\lfloor\cdot\rfloor\) represents the Floor Function.

  • \(\text{sgn}(x)\) represents the sign function. We have \(\text{sgn}(x)=-1,0,1\) for negative, zero, positive \(x\) respectively.

You can try more such problems of the set Do you know its property ?


Problem Loading...

Note Loading...

Set Loading...