For 1 and 2, justify your answer using the limit theorem and computing the actual limit. Saying: "The limit is x because this term dominates the other" is not a valid proof. To clarify, You can use the 'dominant term' argument when you talk about polynomial terms (i.e. n^d). 1) is 2ⁿ⁺¹ = O(2ⁿ)? 2) is 2²ⁿ = O(2ⁿ)?