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I would like to know if this statement is true: enter image description here

I thought of giving a counter example by defining: enter image description here which will give us that enter image description here but i'm nut sure if it's possible to say that enter image description here 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?

Gilles 'SO- stop being evil'
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