Which of the following functions is non-periodic, here [.] and {.} denotes the greatest integer function and fractional part respectively?
Answer & explanation
Correct answer: option 4
Period of $\frac{2^x}{2^{[x]}}$ is 1.
Period of $\sin^{-1}\{x\}$ is 1.
Period of $\sin^{-1}(\sqrt{x})$ is 2π where as $\sin^{-1}(\cos x^2)$ is non−periodic.