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Asymptotic Tight bound question

  1. Jan 21, 2012 #1
    1. The problem statement, all variables and given/known data

    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?
     
    Last edited by a moderator: May 5, 2017
  2. jcsd
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