Problem 1

Use the definition of Big-O to explain why this is true: $7n^4 + 10n + 5 \in O(n^5)$.

Problem 2

Use the definition of Omega ($\Omega$) to explain why this is true: $7n^4 + 10n + 5 \in O(n^4)$.

Problem 3

Use the definition of Theta ($\Theta$) to explain why this is true: $7n^4 + 10n + 5 \in \Theta(n^4)$.