Le jeudi 02 septembre 2010 à 14:58 -0600, Aaron S. Meurer a écrit :
> Here is what I get in master:
> 
> In [2]: O(x) + O(exp(1/x))
> Out[3]: O(exp(1/x))
> 
> In [4]: O(exp(1/x)) + O(x)
> Out[4]: O(exp(1/x))
> 
> Can someone explain to me why O(x + exp(1/x)) = O(exp(1/x))?  It seems to me 
> that it should be O(x), since exp(1/x) is a decreasing function, so it should 
> be O(1) (see plots at http://www.wolframalpha.com/input/?i=exp(1/x)).

>From the docstring for Order: "Represents O(f(x)) at the point x = 0."

exp(1/x) goes to infinity  for x -> 0, so the result is correct.




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