Which of the following function is periodic? `sgn(e^-x)x >0`

Which of the following functions are periodic? f(x)={|sgn(x)|,x!=01,x=0

Which of the following function is a periodic function ?f(x)=sin((1)/(x));x!=0

Which of the following function/functions is/are periodic ? (a) sgn(e^(-x)) " (b) " sinx + |sinx| (c ) min(sinx, |x|) " (d) " (x)/(x)

Which of the following function is not differentiable at x=0?f(x)=min{x,sin x}f(x)={[0,x>=0x^(2),x<0( c) f(x)=x^(2)sgn(x)

Find the period of the following functions if they are periodic: h(x)=cos x+x-[x] where [.] denotes the greatest integer function.

Find the period of the following functions if they are periodic- f(x)=4sin x

Which of the following functions is an odd function ? |x-2|+(x+2)sgn(x+2)

In which of the following function,range is not singleton set f(x)=[x]+[-x]( b) f(x)={x}+{-x}f(x)=|sgn(x)|(d)f(x)=[sqrt(x-[x]) where [x],{x}, and sgn(x) are greatest integer function,fractional part function and signum function respectively.

Which of the following pairs of functions is/are identical? (a) f(x)="tan"(tan^(-1)x)a n dg(x)="cot"(cot^(-1)x) (b)f(x)=sgn(x)a n dg(x)=sgn(sgn(x)) (c)f(x)=cot^2xdotcos^2xa n dg(x)=cot^2x-cos^2x (d)f(x)=e^(lnsec^(-1)x)a n dg(x)=sec^(-1)x

Which one of the following is not a periodic function? f(x)=log(sin x)