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Hi,

I just have a basic question regarding an asymptotic tight bound question.

The question is :

TRUE / FALSE

http://latex.codecogs.com/gif.latex?3^{n+1} \text{ belongs to } \Theta(3^{n}) [Broken]

By definition of big theta:

[itex] c_{1}g(n) \leq f(n) \leq c_{2}g(n) \text { } \forall n > n0 [/itex]

So in my case, [itex] g(n) = 3^{n} \text{ and } f(n)=3^{n+1} [/itex]

Therefore to prove this true, I should show a set of values for c1, c2, and n for the definition to hold true.

Is that correct?

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# Homework Help: Asymptotic Tight bound question

Can you offer guidance or do you also need help?

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