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Iterated logarithmic function is defined as

Which of the following is/are TRUE ?

(i) log∗n=O(log(logn))

(ii) (log∗n)!=O(logn)

(iii) (log∗n)^n=O((logn)!)

  1. i and ii only

  2. i and iii only

  3. ii and iii only

  4. i, ii and iii

 

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