Let \(𝑓(𝑛) = 𝑛\) and \(𝑔(𝑛) = 𝑛^{(1+ sin \ 𝑛)}\) , where \(𝑛\) is a…

Let $𝑓(𝑛) = 𝑛$ and $𝑔(𝑛) = 𝑛^{(1+ sin \ 𝑛)}$ , where $𝑛$ is a positive integer. Which of the following statements is/are correct?

I. 𝑓(𝑛) = 𝑂(𝑔(𝑛))

II. 𝑓(𝑛) = Ω(𝑔(𝑛))