Asymptotic notation big (O) and Big (Omega)

Question

f (n) = 6 * 2 ^ n + n ^ 2

big (O) = 2 ^ n

big (Omega) = 2 ^ n

In the above equation, both large (O) and large (Omega) have the same meaning. If the large (O) upper bound and the large (omega) lower bound should not be large (omega) = n ^ 2. Why do both have the same meaning?

Answer 1

, O & Omega; , & le; & ge; < > . , , a & ge; b a & le; b ( ), O, Omega; (, & Theta;).

n,

• 6 2 ⁿ + n ² & le; 12 2 ⁿ 6 2 ⁿ + n ² ( ), 2 ⁿ ( O ).

• , 6 2 ⁿ + n ² & ge; 0,1 2 ⁿ 6 2 ⁿ + n ² ( ), 2 ⁿ ( ) .

, . , 6 2 ⁿ + n ²= & Theta; (2 ⁿ)