Definition of the small o- notation


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Q: Prove That  n! ∈ o(nn) by using the definition of the small o- notation.

Definition: Let ∫:N→RU{0}
N is the set of all non-negative integers:
R is the set of all positive real numbers.

fo(f):{g:N→RU{0}|c∈R,∀c∈R,∃no∈N:g(n)o}

 

 

 

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Engineering Mathematics: Definition of the small o- notation
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