So I have three functions:
$f(n) = n^{2/12} + log^{2018}(n)$
$g(n) = n^{2+(-1)^n}$
$h(n) = n(1+(-1)^n)$
I think for $f$ it would be $f(n)$ $\in$ $\Theta(n^{2/12})$, because $n^{2/12}$ grows faster than $log^{2018}(n)$, so $log^{2018}(n)$ is a constant factor.
But what about g and h? Arent they both alternating between $\infty$ and $-\infty$. Are there even a $\Omega$, $\mathcal{O}$ or $\Theta$ - bounds for them?