I was wondering if anyone could double check my answers below please.

Give the order of the following functions,

$\displaystyle 1. Ta(n) = 20^2 + (n + 4)^3$

$\displaystyle 2. Tb(n) = (6n + 4)^2 + 3nlog2(n)$

$\displaystyle 3. Tc(n) = (7n + 1)^2log10(n)$

I got the following orders:-

$\displaystyle 1. \theta(n^2)$

$\displaystyle 2. \theta(n log n)$

$\displaystyle 3. \theta(log n)$

Item 3 is the most effecient for very large values of n.