algorithm - functions that f(n) is not O(g(n)) and g(n) is not O(f(n)) -

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Is there any work such as both f (n) and g (n); 

  F (n)! = O (g) and g (n)! = O (f)   
 Is there any work that meets the requirements above?  
  
 
 
  f (n) = n and g (n) = n ^ (1 + sin (X)).   
 f (n) is not (g) and g (n) o (f (n)) is not.  
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