Compare growth: an=5⋅3na_n = 5 \cdot 3^nan=5⋅3n versus bn=n3+100nb_n = n^3 + 100nbn=n3+100n. For large nnn, which dominates?
ana_nan dominates (exponential beats polynomial)
bnb_nbn dominates (cubic growth is faster)
They grow equally fast
Depends on the initial constant 5