I would like to know if this statement is true:
I thought of giving a counter example by defining:
which will give us that
but i'm nut sure if it's possible to say that
beacuse I suspect that it might be right because of the definition of Big O.
And if that's right that means that the counter example i gave is not good. Am i right? or the statement is true? If it's true, how am I suppose to approach such questions?