Which of the following function/functions is/are periodic ? (a) `sgn(e – InterviewSolution

InterviewSolution

1.	Which of the following function/functions is/are periodic ? (a) `sgn(e^(-x)) " (b) " sinx + \|sinx\|` (c ) `min(sinx, \|x\|) " (d) " (x)/(x)`
Answer» Correct Answer - a,b,c (a) `f(x) = sgn (e^(-x))=1 " as " e^(-x) gt 0 AA x in R`. Therefore, `f(x)` is periodic function. (b) `g(x)=sinx +\|sin x\|` is periodic with period `2pi` as `f(x+2pi)=f(x).` (c ) `h(x) = min(sinx, \|x\|)=sinx,` which is periodic. (d) `p(x)=(x)/(x)=1, x ne 0, ` which is nonperiodic.

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