Question

Which of the following functions are periodic?

• A. f(x) = log x, x > 0
• B. f(x) = $e^x$, x $ϵ$ R
• C. f(x) = x - [x], x $ϵ$ R
• D. f(x) = x + [x], x $ϵ$ R

Answer 1

The correct option is C f(x) = x - [x], x $ϵ$ R

f(x) = log x, is not periodic.
f(x) = $e^x$, is not periodic.
f(x) = x - [x] = {x}, has period 1
f(x) = x + [x], is not periodic