So I am trying to work on a problem and honestly... I am so lost with this one. I will try to ask it the best I can.
Exact text of the problem: "Prove the following directly from the definition of Big Theta; 100,000,000 is a member of the set of functions defined by Big Theta of g(n), where g(n) = 1"
Additionally, the definition in question is [Click here to see definition]
Basically, I don't understand the definition and I don't understand the question. I understand that this chapter is talking about asymptotic behavior, and how given 2 different functions these 1 number could "grow" faster than the other up to a certain point and then it would switch. Example, Using 1 and 100,000,000 as n. In the following 2 functions 1 is larger number using 1... and then the other one is larger when you 100,000,000.
1,000,000n and n^2
Perhaps someone can help put the definition and question into words I can understand a little better.