Growth Rate of Functions : Limits, Infimum, Supremum, Asymptotic Upper Bound, Asymptotically Negligible, Asymptotic Lower Bound, Asymptotically Dominant and Asymptotically Tight Bound

Function  A            Function B  
------------             -----------
n^1/3                    6 log(n)

is A=O(B) ?                   Yes/No
is A=o(B) ?                    Yes/No
is A=Big Omega(B) ?      Yes/No
is A=Small Omega(B) ?   Yes/No
is A=Theta(b) ?              Yes/No


Also the same for the following pairs.

n^2*2^n                3^n

(n^2!)                     n^n

n^2/log n                n log (n^2)

(log n)^ log n           n/log(n)


Would appreciate your help. Please be detailed.

Thanks.