let f$($n$)=2$n and g$($n$)=$n$^(1\mathrm{.}5+$ sin$($n$)),$ where n is a power integer. Which of the following statements is correct

a$)$fn$=$O$($gn$)$

b$)$fn$=$w$($gn$)$

c$)$fn$=$Q$($gn$)$

d$)$none of the above