8. Ordo-notation.

We write

if

We say that f is small ordo of g as  goes to 0.
We write

 

if there is a positive constant M such that

 

for all  belonging to some neighborhood of 0.
We say that f is large ordo of g as  goes to 0.
Example:

 

since

 

Example:

 

since

 

for all  . However, we don’t have that

 

since

 
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